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overheard a joke about some topological space where one can go in but can't come out. What is the name of this space. Google just gave me black holes.

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Could that be a Klein bottle? One can go in, but once in, one can't come out, since the inside and the outside of a Klein bottle are the same.

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I think that could be it. –  yiyi Sep 14 '12 at 0:17
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@MaoYiyi Then perhaps you might click the little up-pointing arrow next to the question, the one right above the number "0". –  MJD Sep 14 '12 at 0:18
    
you know that one has to wait before accepting an answer. –  yiyi Sep 14 '12 at 0:29
    
@MaoYiyi Certainly, but the check mark ✓, not the up-arrow ⇮, is used for accepting. If I were you, I would undo the check mark, and wait a day or two to see if any better answers come in, before accepting. –  MJD Sep 14 '12 at 1:42
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