Intersection of a finite number of open subsets is open?
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Why does there have to be a finite number? Why can't any intersection of open sets be open? Thanks!
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Answer:
>> I'll put the answer informally, if you don't mind. Recall the idea of a limit. Well, when you get to >> an infinite number of open sets, you find that the limit at the endpoints of an open set as n approaches >> infinity can be a point, and thus a place where the intersection is non-open. > > John (gnujohn)
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