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Re:Munkres 26절 연습문제질문이요(1)

작성자선인장|작성시간06.11.17|조회수79 목록 댓글 0
Let X_1, X_2 , ..., X_n be compact subsets of X.
Then there are finite open covers u_i of X_i for i=1, 2, .., n.
Suppose that X is a union of X_1, ..., X_n.
Then U, which is a union of finite open covers u_i, is to be finite open cover of X because finite union of finite sets is to be finite set again.
Therefore X is compact 입니다.
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