Second Countable Spaces and the relation to First Countable Spaces

>> DOWNLOAD LINK 🎞️ #1 <<

>> DOWNLOAD LINK 🎞️ #2 <<

>> COPY / PASTE LINK PLEASE 🎵 MP3 <<

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=Y6AILGjDoVA

A topological space (X, T) is second countable if the topology T has a countable basis. The real line with the usual topology is second countable, whereas the real line with the lower-limit topology is not second countable. We also show that second countable spaces are also first countable. The converse is not true, which we demonstrate using the real line with the lower limit topology.","styleRuns":[{"startIndex":0,"length":389,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":389,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"COwBELsvGAIiEwj--cvo4ciLAxVu0EIFHQcADBY=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1k2QUlMR2pEb1ZBGAYyJSIRIgtZNkFJTEdqRG9WQTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"COwBELsvGAIiEwj--cvo4ciLAxVu0EIFHQcADBY=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"COsBELovIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"secondaryResults":{"secondaryResults":{"results":[{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/nQKeOLInH88/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB8Djyxb0h0h5qJT0-Nv62pXr39uQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/nQKeOLInH88/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLB0Wr0kFZzrpfGIRUo6pfKFXNwQqA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"12:43","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"nQKeOLInH88","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"12 minutes, 43 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"COoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"nQKeOLInH88","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"COkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"nQKeOLInH88"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"COMBENTEDBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"COgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"nQKeOLInH88","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nQKeOLInH88"],"params":"CAQ%3D"}},"videoIds":["nQKeOLInH88"],"videoCommand":{"clickTrackingParams":"COgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=nQKeOLInH88","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"nQKeOLInH88","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9d029e38b2271fcf ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=656250 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COcBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"COMBENTEDBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Closed sets"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/pphzbZY96xTigNNdbb4dcjuQkCjoylhYaYX1d2BVwrMpYyEdV9xOl9dhIDcfrsUNqK-9ny3hsg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"COMBENTEDBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/@DrMcCrady","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCh2VzfqUoYUai5FdHX7V3Vw","canonicalBaseUrl":"/@DrMcCrady"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Andrew McCrady"}}]},{"metadataParts":[{"text":{"content":"533 views"}},{"text":{"content":"4 years ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"COYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"COYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"nQKeOLInH88","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["nQKeOLInH88"],"params":"CAQ%3D"}},"videoIds":["nQKeOLInH88"],"videoCommand":{"clickTrackingParams":"COYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=nQKeOLInH88","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"nQKeOLInH88","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9d029e38b2271fcf ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=656250 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"downloadListItemViewModel":{"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","offlineVideoEndpoint":{"videoId":"nQKeOLInH88","onAddCommand":{"clickTrackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","getDownloadActionCommand":{"videoId":"nQKeOLInH88","params":"CAIQAA%3D%3D"}}}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtuUUtlT0xJbkg4OA%3D%3D","commands":[{"clickTrackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COUBEI5iIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"COQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"nQKeOLInH88","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"COMBENTEDBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","clientVeSpec":{"uiType":205396,"veCounter":220983200}}},"accessibilityContext":{"label":"Closed sets by Andrew McCrady 533 views 4 years ago 12 minutes, 43 seconds"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"COMBENTEDBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwWMgdyZWxhdGVkSNDCjsbGhYLQY5oBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=nQKeOLInH88","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"nQKeOLInH88","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9d029e38b2271fcf ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=656250 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/x6wElArijIg/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCGbZplcngyqZPDGnc5MnT2xogrng","width":168,"height":94},{"url":"https://i.ytimg.com/vi/x6wElArijIg/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBcjKwBMsBIq7zXBPwn4HrgyrcJPw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"17:44","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"x6wElArijIg","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"17 minutes, 44 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"COIBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"x6wElArijIg","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COIBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"COEBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"x6wElArijIg"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COEBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNsBENTEDBgBIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"COABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"x6wElArijIg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["x6wElArijIg"],"params":"CAQ%3D"}},"videoIds":["x6wElArijIg"],"videoCommand":{"clickTrackingParams":"COABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=x6wElArijIg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"x6wElArijIg","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c7ac04940ae28c88 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"COABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CN8BEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNsBENTEDBgBIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"The Alexander Subbase Theorem: help understanding the definitions and the proof"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/pphzbZY96xTigNNdbb4dcjuQkCjoylhYaYX1d2BVwrMpYyEdV9xOl9dhIDcfrsUNqK-9ny3hsg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNsBENTEDBgBIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/@DrMcCrady","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCh2VzfqUoYUai5FdHX7V3Vw","canonicalBaseUrl":"/@DrMcCrady"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Andrew McCrady"}}]},{"metadataParts":[{"text":{"content":"798 views"}},{"text":{"content":"1 year ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CN4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CN4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CN4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"x6wElArijIg","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CN4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["x6wElArijIg"],"params":"CAQ%3D"}},"videoIds":["x6wElArijIg"],"videoCommand":{"clickTrackingParams":"CN4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=x6wElArijIg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"x6wElArijIg","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c7ac04940ae28c88 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"downloadListItemViewModel":{"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","offlineVideoEndpoint":{"videoId":"x6wElArijIg","onAddCommand":{"clickTrackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","getDownloadActionCommand":{"videoId":"x6wElArijIg","params":"CAIQAA%3D%3D"}}}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgt4NndFbEFyaWpJZw%3D%3D","commands":[{"clickTrackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CN0BEI5iIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CNwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"x6wElArijIg","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CNsBENTEDBgBIhMI_vnL6OHIiwMVbtBCBR0HAAwW","clientVeSpec":{"uiType":205396,"veCounter":220983199}}},"accessibilityContext":{"label":"The Alexander Subbase Theorem: help understanding the definitions and the proof by Andrew McCrady 798 views 1 year ago 17 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNsBENTEDBgBIhMI_vnL6OHIiwMVbtBCBR0HAAwWMgdyZWxhdGVkSNDCjsbGhYLQY5oBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=x6wElArijIg","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"x6wElArijIg","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=c7ac04940ae28c88 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/eGCNhdP1yBk/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAsA6I4fC1rXHx42tCBtayAZjlSmQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/eGCNhdP1yBk/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBN42B3sB5JCDXyOQRoZZd7pKHdog","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"1:29:10","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"eGCNhdP1yBk","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"1 hour, 29 minutes, 10 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CNoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"eGCNhdP1yBk","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CNkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"eGCNhdP1yBk"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CNgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"eGCNhdP1yBk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["eGCNhdP1yBk"],"params":"CAQ%3D"}},"videoIds":["eGCNhdP1yBk"],"videoCommand":{"clickTrackingParams":"CNgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=eGCNhdP1yBk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"eGCNhdP1yBk","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nv47zn7y.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=78608d85d3f5c819 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNcBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Models and Ontologies in Mathematics and Physics by Barry Smith"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/ytc/AIdro_mhly9VXrFKCfWOSx8iTQI3NLSWsdamPFCRwi4z3odIzg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/@ontologforum2244","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCKK2e8NZ9lyLDBpXY18O_Tg","canonicalBaseUrl":"/@ontologforum2244"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Ontolog Forum"}}]},{"metadataParts":[{"text":{"content":"12 views"}},{"text":{"content":"52 minutes ago"}}]},{"badges":[{"badgeViewModel":{"badgeText":"New","badgeStyle":"BADGE_DEFAULT","trackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CNYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"eGCNhdP1yBk","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["eGCNhdP1yBk"],"params":"CAQ%3D"}},"videoIds":["eGCNhdP1yBk"],"videoCommand":{"clickTrackingParams":"CNYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=eGCNhdP1yBk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"eGCNhdP1yBk","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nv47zn7y.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=78608d85d3f5c819 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"downloadListItemViewModel":{"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","offlineVideoEndpoint":{"videoId":"eGCNhdP1yBk","onAddCommand":{"clickTrackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","getDownloadActionCommand":{"videoId":"eGCNhdP1yBk","params":"CAIQAA%3D%3D"}}}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtlR0NOaGRQMXlCaw%3D%3D","commands":[{"clickTrackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNUBEI5iIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CNQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"eGCNhdP1yBk","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwW","clientVeSpec":{"uiType":205396,"veCounter":220983198}}},"accessibilityContext":{"label":"Models and Ontologies in Mathematics and Physics by Barry Smith by Ontolog Forum 12 views 52 minutes ago 1 hour, 29 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CNMBENTEDBgCIhMI_vnL6OHIiwMVbtBCBR0HAAwWMgdyZWxhdGVkSNDCjsbGhYLQY5oBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=eGCNhdP1yBk","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"eGCNhdP1yBk","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nv47zn7y.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=78608d85d3f5c819 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/7IIK4fu7IPc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAl1oZv3Mgw59XP_B-BI5Wz7BRRLw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/7IIK4fu7IPc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLAj9a54g4ZIHB8PR23CcXOjiDfY4g","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"18:52","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"7IIK4fu7IPc","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"18 minutes, 52 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"animatedThumbnailOverlayViewModel":{"thumbnail":{"sources":[{"url":"https://i.ytimg.com/an_webp/7IIK4fu7IPc/mqdefault_6s.webp?du=3000 sqp=CPOyyL0G rs=AOn4CLBtJ3Ro9yUhj3cG_kCT4Tzolu9-2A","width":320,"height":180}]}}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CNIBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"7IIK4fu7IPc","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNIBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CNEBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"7IIK4fu7IPc"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNEBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMsBENTEDBgDIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CNABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"7IIK4fu7IPc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["7IIK4fu7IPc"],"params":"CAQ%3D"}},"videoIds":["7IIK4fu7IPc"],"videoCommand":{"clickTrackingParams":"CNABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=7IIK4fu7IPc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"7IIK4fu7IPc","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ec820ae1fbbb20f7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1107500 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CNABEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CM8BEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMsBENTEDBgDIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Understand The Baire Category Theorem: Dense Sets, Nowhere Dense Sets, Infinity"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/pphzbZY96xTigNNdbb4dcjuQkCjoylhYaYX1d2BVwrMpYyEdV9xOl9dhIDcfrsUNqK-9ny3hsg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMsBENTEDBgDIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/@DrMcCrady","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCh2VzfqUoYUai5FdHX7V3Vw","canonicalBaseUrl":"/@DrMcCrady"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Andrew McCrady"}}]},{"metadataParts":[{"text":{"content":"3.3K views"}},{"text":{"content":"1 year ago"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CM4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"7IIK4fu7IPc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["7IIK4fu7IPc"],"params":"CAQ%3D"}},"videoIds":["7IIK4fu7IPc"],"videoCommand":{"clickTrackingParams":"CM4BEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=7IIK4fu7IPc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"7IIK4fu7IPc","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ec820ae1fbbb20f7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1107500 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"downloadListItemViewModel":{"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","offlineVideoEndpoint":{"videoId":"7IIK4fu7IPc","onAddCommand":{"clickTrackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","getDownloadActionCommand":{"videoId":"7IIK4fu7IPc","params":"CAIQAA%3D%3D"}}}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs3SUlLNGZ1N0lQYw%3D%3D","commands":[{"clickTrackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CM0BEI5iIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CMwBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"7IIK4fu7IPc","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMsBENTEDBgDIhMI_vnL6OHIiwMVbtBCBR0HAAwW","clientVeSpec":{"uiType":205396,"veCounter":220983197}}},"accessibilityContext":{"label":"Understand The Baire Category Theorem: Dense Sets, Nowhere Dense Sets, Infinity by Andrew McCrady 3,348 views 1 year ago 18 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMsBENTEDBgDIhMI_vnL6OHIiwMVbtBCBR0HAAwWMgdyZWxhdGVkSNDCjsbGhYLQY5oBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=7IIK4fu7IPc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"7IIK4fu7IPc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ec820ae1fbbb20f7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1107500 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/9dNv9tH0dkU/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB0eC5nq8v4TPsvLFOzd6OLgBb9uA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/9dNv9tH0dkU/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDNRnLGlnXHBI4THmKLJnklb4ddhw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"text":"32:20","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","animationActivationTargetId":"9dNv9tH0dkU","animationActivationEntityKey":"Eh8veW91dHViZS9hcHAvd2F0Y2gvcGxheWVyX3N0YXRlIMMCKAE%3D","lottieData":{"url":"https://www.gstatic.com/youtube/img/lottie/audio_indicator/audio_indicator_v2.json","settings":{"loop":true,"autoplay":true}},"animatedText":"Now playing","animationActivationEntitySelectorType":"THUMBNAIL_BADGE_ANIMATION_ENTITY_SELECTOR_TYPE_PLAYER_STATE","rendererContext":{"accessibilityContext":{"label":"32 minutes, 20 seconds"}}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"animatedThumbnailOverlayViewModel":{"thumbnail":{"sources":[{"url":"https://i.ytimg.com/an_webp/9dNv9tH0dkU/mqdefault_6s.webp?du=3000 sqp=CLLAyL0G rs=AOn4CLCYgPq8yFaWkeVChcLBPgfdrmNWow","width":320,"height":180}]}}},{"thumbnailHoverOverlayToggleActionsViewModel":{"buttons":[{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"WATCH_LATER","onTap":{"innertubeCommand":{"clickTrackingParams":"CMoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"9dNv9tH0dkU","action":"ACTION_ADD_VIDEO"}]}}},"accessibilityText":"Watch later","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMoBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","onTap":{"innertubeCommand":{"clickTrackingParams":"CMkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"9dNv9tH0dkU"}]}}},"accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMkBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},{"toggleButtonViewModel":{"defaultButtonViewModel":{"buttonViewModel":{"iconName":"ADD_TO_QUEUE_TAIL","onTap":{"innertubeCommand":{"clickTrackingParams":"CMgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"9dNv9tH0dkU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9dNv9tH0dkU"],"params":"CAQ%3D"}},"videoIds":["9dNv9tH0dkU"],"videoCommand":{"clickTrackingParams":"CMgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9dNv9tH0dkU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9dNv9tH0dkU","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f5d36ff6d1f47645 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}},"accessibilityText":"Add to queue","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMgBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"toggledButtonViewModel":{"buttonViewModel":{"iconName":"CHECK","accessibilityText":"Added","style":"BUTTON_VIEW_MODEL_STYLE_OVERLAY_DARK","trackingParams":"CMcBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TONAL","buttonSize":"BUTTON_VIEW_MODEL_SIZE_COMPACT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}},"isToggled":false,"trackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}}]}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"JD Vance goes after European allies in Munich Security Conference speech | DW News"},"image":{"decoratedAvatarViewModel":{"avatar":{"avatarViewModel":{"image":{"sources":[{"url":"https://yt3.ggpht.com/NSOdTQTWlqMy8O_j32dx-ftfTCHMOt04Hm7KZ4pfAK6-eQzQSZMWvvss90kG8KQfJ7iNP3phyA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"avatarImageSize":"AVATAR_SIZE_M"}},"a11yLabel":"Go to channel","rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/@dwnews","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCknLrEdhRCp1aegoMqRaCZg","canonicalBaseUrl":"/@dwnews"}}}}}}},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"DW News","styleRuns":[{"startIndex":7,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4289374890},{"key":"USER_INTERFACE_THEME_LIGHT","value":4284506208}]}}}],"attachmentRuns":[{"startIndex":7,"length":0,"element":{"type":{"imageType":{"image":{"sources":[{"clientResource":{"imageName":"CHECK_CIRCLE_FILLED"},"width":14,"height":14}]}}},"properties":{"layoutProperties":{"height":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"width":{"value":14,"unit":"DIMENSION_UNIT_POINT"},"margin":{"left":{"value":4,"unit":"DIMENSION_UNIT_POINT"}}}}},"alignment":"ALIGNMENT_VERTICAL_CENTER"}]}}]},{"metadataParts":[{"text":{"content":"935K views"}},{"text":{"content":"2 days ago"}}]},{"badges":[{"badgeViewModel":{"badgeText":"New","badgeStyle":"BADGE_DEFAULT","trackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}}]}],"delimiter":" • "}},"menuButton":{"buttonViewModel":{"iconName":"MORE_VERT","onTap":{"innertubeCommand":{"clickTrackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showSheetCommand":{"panelLoadingStrategy":{"inlineContent":{"sheetViewModel":{"content":{"listViewModel":{"listItems":[{"listItemViewModel":{"title":{"content":"Add to queue"},"leadingImage":{"sources":[{"clientResource":{"imageName":"ADD_TO_QUEUE_TAIL"}}]},"rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW"}},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","addToPlaylistCommand":{"openMiniplayer":true,"videoId":"9dNv9tH0dkU","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["9dNv9tH0dkU"],"params":"CAQ%3D"}},"videoIds":["9dNv9tH0dkU"],"videoCommand":{"clickTrackingParams":"CMYBEP6YBBgAIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9dNv9tH0dkU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9dNv9tH0dkU","watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f5d36ff6d1f47645 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}]}}}}}}},{"downloadListItemViewModel":{"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","offlineVideoEndpoint":{"videoId":"9dNv9tH0dkU","onAddCommand":{"clickTrackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","getDownloadActionCommand":{"videoId":"9dNv9tH0dkU","params":"CAIQAA%3D%3D"}}}}}}}}},{"listItemViewModel":{"title":{"content":"Share"},"leadingImage":{"sources":[{"clientResource":{"imageName":"SHARE"}}]},"rendererContext":{"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs5ZE52OXRIMGRrVQ%3D%3D","commands":[{"clickTrackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMUBEI5iIhMI_vnL6OHIiwMVbtBCBR0HAAwW","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}}}}}}}]}}}}}}}},"accessibilityText":"More actions","style":"BUTTON_VIEW_MODEL_STYLE_MONO","trackingParams":"CMQBEPBbIhMI_vnL6OHIiwMVbtBCBR0HAAwW","type":"BUTTON_VIEW_MODEL_TYPE_TEXT","buttonSize":"BUTTON_VIEW_MODEL_SIZE_DEFAULT","state":"BUTTON_VIEW_MODEL_STATE_ACTIVE"}}}},"contentId":"9dNv9tH0dkU","contentType":"LOCKUP_CONTENT_TYPE_VIDEO","rendererContext":{"loggingContext":{"loggingDirectives":{"trackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwW","clientVeSpec":{"uiType":205396,"veCounter":220983196}}},"accessibilityContext":{"label":"JD Vance goes after European allies in Munich Security Conference speech | DW News by DW News 935,321 views 2 days ago 32 minutes"},"commandContext":{"onTap":{"innertubeCommand":{"clickTrackingParams":"CMMBENTEDBgEIhMI_vnL6OHIiwMVbtBCBR0HAAwWMgdyZWxhdGVkSNDCjsbGhYLQY5oBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=9dNv9tH0dkU","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"9dNv9tH0dkU","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-nv47znee.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=f5d36ff6d1f47645 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1038750 mt=1739728127 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mw rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}}}}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/iIL_Domlu4w/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLC3y87E9wMkZ3rcT2ROdQSO3E8b3w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/iIL_Domlu4w/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCa_JyO-bkJV82k8LMaf2xx849Dgg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"75 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3352614,"darkTheme":3352614}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":4141616,"darkTheme":4141616}}},"stackColor":{"lightTheme":10058100,"darkTheme":9664886}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Topology"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Andrew McCrady

#############################