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Math Help - Cantor Sets in the plane

  1. #1
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    Cantor Sets in the plane

    Show that given any Cantor set in the plane there is a Jordan Curve (i.e a simple closed curve homemorphic to the unit circle) that contains said Cantor set.

    By Cantor set in the plane, I mean something a Cantor Space in R2
    Last edited by southprkfan1; March 12th 2010 at 05:19 AM.
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