18.S190 | January IAP 2023 | Undergraduate

Introduction to Metric Spaces

Lecture 3: Compact Sets in Rⁿ

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.

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January IAP 2023
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