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Topology Lecture 24: Closed Map Lemma
Автор: Marius Furter
Загружено: 2022-11-22
Просмотров: 3010
Описание:
We prove the closed map lemma, which states that every continuous map from a compact space to a hausdorff space is closed. Then we give two examples that show how to use the closed map lemma in the context of quotient spaces.
00:00 Introduction
00:20 Closed map lemma
24:25 Recap of universal property of quotient spaces
39:03 Quotient of unit interval is homeomorphic to the circle
47:50 Quotient of unit square is homeomorphic to torus
This lecture follows Lee's "Introduction to topological manifolds", chapter 4.
A playlist with all the videos in this series can be found here:
• Topology
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