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A question from Hatcher.

  1. Nov 9, 2011 #1

    MathematicalPhysicist

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    Gold Member

  2. jcsd
  3. Nov 9, 2011 #2
    You could allow x1 to be any point in your hypothesis. So, you can choose x1 = x0, and then you can have loops. That's a stronger assumption.

    Actually, he did an edit to show that it's good enough to prove it for that case.
     
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