What is algebraic topology

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=5xLe77iTHuQ

An introduction to homology, a key concept in algebraic topology. Take your personal data back with Incogni! Use code ALEPH at the link below and get 60% off an annual plan: http://incogni.com/aleph. • Help fund future projects: / aleph0 • An equally valuable form of support is to simply share the videos. • This video is a collaboration with Trevor from the channel Mathemaniac. Check out his video here: • The textbook exercise on Euler char... . • A HUGE thank you to Brendan Shuttleworth for working with me to make the script and storyboard for this video. You rock Brendan! • NEWSLETTER • I have a weekly math newsletter where I collate resources to self-study a specific topic and deliver it to your inbox. if this is interesting to you, fill out the form below to signup: https://forms.gle/Rt1f5StAj3yZtakE6 • SOURCES and REFERENCES for Further Reading: • This video is a quick-and-dirty introduction to homology. But as with any quick introduction, there are details that I gloss over for the sake of brevity. To learn these details rigorously, I've listed a few resources down below. • (a) Video Lectures by Pierre Albin: • Algebraic Topology - Pierre Albin • (b) “Algebraic Topology” by Allen Hatcher: https://pi.math.cornell.edu/~hatcher/... • CORRECTIONS: • 12:59 You take n-cycles/(n+1)-boundaries not n-chains. • Follow me! • Twitter: @00aleph00 • ___ • MUSIC CREDITS: • The song is “Taking Flight”, by Vince Rubinetti. • https://www.vincentrubinetti.com/ • 00:00-1:11 Intro • 1:11-2:15 The Overall Idea • 2:25-4:25 Cells • 4:25-6:15 The Circle • 6:15-7:00 Sponsored Message • 7:00-8:55 The Torus • 8:55-11:10 Homology, in general • 11:10-14:37 Singular Homology

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