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

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quasi

Posts: 10,226
Registered: 7/15/05
Re: Equidistance
Posted: Jul 12, 2013 5:15 AM
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William Elliot wrote:

>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)?


Presumably you meant compact _metric_ space.

Still, I don't believe the claim.

What is your source for the problem?

quasi



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