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Math Help - Topology proof

  1. #1
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    Topology proof

    Prove that S^(int), boundary of S and (S^c)^int are pairwise disjoint and their union is the entire Rn.

    I understand that the set S is separate from it's boundary line then (S^c)^int is everything excluding the other two but how do I go about the proof?
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  2. #2
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    Re: Topology proof

    Let a point be in the intersection of 2 sets from those given. You'll get a contradiction (refer to the definitions of  S^{int}, \partial S and  (S^{c})^{int} .
    Last edited by chen09; September 23rd 2013 at 09:03 PM.
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