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SOLVED: 9. Countable Compactness: A metric space in which every open cover has a countable subcover is sometimes called a countably compact space. Countable compactness is not as strong a condition as
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SOLVED: Prove that every finite subset of R^n is compact. Show that Ap Az is a compact subset of R^n if and only if A1, A2, ..., An are compact subsets of
Problem Set 2: Solutions Math 201A: Fall 2016 Problem 1. (a) Prove that a closed subset of a complete metric space is complete.
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