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Math Help - Compact Set

  1. #1
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    Compact Set

    Just a question to see if I understand the definition of a compact set:

    Is the set {0,1,2,3,4,5,6,7}, or any (finite) set A\subset \mathbb{Z}, compact?
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  2. #2
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    It seems to me that if you have an open cover of A, then you you choose for each element x of A a single open set that covers x. This way you get a finite subcover.
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