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November 15th, 2016, 08:13 AM   #1
ZMD
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Compactness

Anyone??
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November 17th, 2016, 05:22 PM   #2
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Suppose not. Then you can find a sequence of values for $f$ such that for any open set, infinitely many values are not contained inside the set. Can you construct this sequence so that it has no convergent subsequence?
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