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Topic: Equidistance
Replies: 7   Last Post: Jul 13, 2013 12:22 AM

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William Elliot

Posts: 1,609
Registered: 1/8/12
Equidistance
Posted: Jul 12, 2013 4:15 AM
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Let (S,d) be a compact Hausdorff space and f:S -> S a homeomorphism.
How can it be show that there are some distinct x and y for which
d(f(x),f(y)) = d(x,y)?



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