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HomeMIT 18.S190 Introduction To Metric Spaces, IAP 2023Lecture 3: Compact Sets in Rⁿ
Lecture 3: Compact Sets in Rⁿ
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Lecture 4: Compact Metric Spaces
We motivate the concept of compact sets on Euclidean space with norms, support of functions, and finite sets. We also prove the Heine-Borel theorem and introduce the notions of topological and sequential compactness.