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SOLVED: Definition: Suppose (X, dx) and (Y, dy) are metric spaces and X is compact. Let C(X, Y) be the set of all continuous functions from X into Y and let D :
Metric Spaces: Compactness
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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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Topology: Sequentially Compact Spaces and Compact Spaces | Mathematics and Such
compactness - Why every countably compact space is $s-$ separated? - Mathematics Stack Exchange