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Is Convexity topological?

  1. Jan 28, 2012 #1
    It's not really a homework problem, but it should be able to help me with something.
    I was just wondering: if two sets are Homeomoprh (topologically), and one of them is convex, does it mean that the other one is convex as well?

    Thanks a lot!

  2. jcsd
  3. Jan 28, 2012 #2
    I just realized it probably isn't :)
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