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Thread: Cantor set

  1. December 10th 2008, 09:09 AM #1
    sisa
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    Cantor set

    Prove that Cantor set is a perfect set.
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  2. December 10th 2008, 11:21 AM #2
    meymathis
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    Google is your friend.

    For example, I found this very quickly:
    http://pirate.shu.edu/~wachsmut/ira/topo/answers/cantor2.html
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  3. December 10th 2008, 12:42 PM #3
    sisa
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    Ok but still that proof is missing a part

    Note that this proof is not yet complete. One still has to prove the assertion that each set A n is indeed comprised of 2 n closed subintervals, with all endpoints being part of the Cantor set. But that is left as an exercise.


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