quasi
Posts:
11,311
Registered:
7/15/05


Re: Equidistance
Posted:
Jul 12, 2013 5:15 AM


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

