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Topology Lecture 22: Compactness II
Автор: Marius Furter
Загружено: 2022-09-25
Просмотров: 4221
Описание:
We prove important properties about compact subsets.
00:00 Introduction
01:40 Compact subsets of hausdorff spaces can be separated by open sets.
18:51 Tube lemma
33:09 Closes subsets of compact spaces are compact
38:48 Compact subsets of hausdorff spaces are closed
43:27 Compact subsets of metric spaces are bounded
49:13 Finite products of compact spaces are compact
57:26 Quotients of compact spaces are compact
This lecture follows Lee's "Introduction to topological manifolds", chapter 4.
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• Topology
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