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math104-s22:notes:lecture_14

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Lecture 14: Compactness

We will finish discussion about compactness. In particular, in Rn\R^n, we have Heine-Borel theorem, namely, compact subsets are exactly those subsets which are closed and bounded. Note that, this is false for general metric space, e.g. closed and bounded subset in Q\Q are not compact.

math104-s22/notes/lecture_14.1646090744.txt.gz · Last modified: 2022/02/28 15:25 by pzhou