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Lecture 5. Compact and Precompact Sets in Metric Spaces
- 00:15Compact Sets. Precompact Sets. Compactness Criteria
- 12:46Example: Closed Unit Ball in ℓ₂ is Not Compact
- 16:23Riesz's Lemma. Corollary: Unit Closed Ball is not Compact in Infinite-Dimensional Space
- 30:06Hausdorff Criterion for Precompactness
- 50:53Criteria for Precompactness in Specific Normed Spaces