Munkres Exercises 4343 Topology











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We solve Exercise 3 in Chapter 4, Section 34 of Munkres' Book. A compact Hausdorff space is metrisable if and only if it is second countable. An application of Urysohn Metrisation Theorem. • ☕ Make a small donation on Ko-fi: https://ko-fi.com/problemathic • 💸 Support us on Patreon, get great perks and items! •   / problemathic   • 👕 Buy great math t-shirts! • https://www.redbubble.com/people/prob... • 💥 Over 40k followers on Instagram, join us! •   / problemathicvideos   • 💬 Join our Discord server!!   / discord   • 🖇️ https://linktr.ee/Problemathic • Timestamps in this video: • 00:00 Introduction. • 00:31 Compact + Hausdorff + 2° Countable implies Metrizable. • 01:22 Compact + Hausdorff + Metrisable implies 2° Countable. • • #maths #topology #analysis

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