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Mathematics版 - 请教一个关于compact sets 的证明
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发帖数: 299
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Using the definition of compactness to prove: If s is a compact subset of R
and T is a closed subset of S, then T is compact.
Definition of compact set: A set S is said to be compact if whenever it is
contained in the union of a family F of open sets, then it is contained in
the union of some finite number of the sets in F. If F is a family of open
sets whose union contains S, then F is called an open cover of S. If Y<=F
and Y is also an open cover of S, then Y is called a sub cover of S. thus S
1 (共1页)
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