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Mar 17, 2016 at 21:42 answer added John Harvey timeline score: 1
Jan 6, 2016 at 15:19 comment added Shman @SebastianGoette Thanks for you suggestion.
Jan 6, 2016 at 15:18 history edited Shman CC BY-SA 3.0
added 19 characters in body; edited title
S Jan 6, 2016 at 10:22 history suggested Sebastian Goette CC BY-SA 3.0
Three typos corrected
Jan 6, 2016 at 10:13 comment added Sebastian Goette I think you have to bound $r$ from above. Otherwise consider $S^n$ with the standard metric and put $r=\pi$. Then the two balls are the same (except for the antipode). Even worse: flat $\mathbb R^n$ has quotients of arbitrarily small diameter. But maybe you stand a chance if you demand that $r\le\frac12\mathrm{diam}(X)$.
Jan 6, 2016 at 10:08 review Suggested edits
S Jan 6, 2016 at 10:22
Jan 6, 2016 at 10:01 review First posts
Jan 6, 2016 at 10:09
Jan 6, 2016 at 9:59 history asked Shman CC BY-SA 3.0