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Topology Lecture 23: Compactness III
Автор: Marius Furter
Загружено: 2022-10-02
Просмотров: 3060
Описание:
We prove that closed, bounded intervals of the real line are compact, along with the Heine-Borel theorem, and the extreme value theorem.
00:00 Introduction
03:17 Closed & bounded intervals are compact
23:03 Heine-Borel: The compact subsets of R^n are exactly the closed & bounded ones
29:17 Extreme value theorem
This lecture follows Lee's "Introduction to topological manifolds", chapter 4.
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• Topology
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