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Jul 31, 2011 at 16:33 comment added Benoît Kloeckner You are right akopyan, this part fails in general. I mixed up two arguments (if one could make $[aa']=[bb']$, then it would hold).
Jul 31, 2011 at 16:32 history edited Benoît Kloeckner CC BY-SA 3.0
added 268 characters in body
Jul 28, 2011 at 12:55 comment added Arseniy Akopyan Using that f is 1-Lipschitz and that [aa′] is a diameter, we get that β must be contained in the interior of α Why?
Jul 28, 2011 at 12:06 history undeleted Benoît Kloeckner
Jul 28, 2011 at 12:06 history edited Benoît Kloeckner CC BY-SA 3.0
Completely changed the answer after rereading the question.
Jul 28, 2011 at 11:45 history deleted Benoît Kloeckner
Jul 28, 2011 at 11:44 history answered Benoît Kloeckner CC BY-SA 3.0