Lecture 4: Compact Metric Spaces

Name: Lecture 4: Compact Metric Spaces
Uploaded: 2023-05-22T14:30:15Z
Duration: 1 h 7 min 6 s
Description: We prove four concepts of compactness are equivalent in this lecture. We use the Lebesgue Number Lemma, Cantor’s Intersection Theorem, Cauchy completeness, and totally bounded sets to do so.

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Lecture 5: Complete Metric Spaces

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We prove four concepts of compactness are equivalent in this lecture. We use the Lebesgue Number Lemma, Cantor’s Intersection Theorem, Cauchy completeness, and totally bounded sets to do so.