or which compact sets A does there exist an m e N such that every open cover of A contains a bcover containing at most m open sets? Justify your answer.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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For which compact sets A does there exist an m E N such that every open cover of A contains a
subcover containing at most m open sets? Justify your answer.
Transcribed Image Text:For which compact sets A does there exist an m E N such that every open cover of A contains a subcover containing at most m open sets? Justify your answer.
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