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Oct 19, 2010 at 10:45 comment added Martin Argerami Nice! That's certainly a much simpler example.
Oct 19, 2010 at 7:23 comment added Laurent Moret-Bailly How about this one: $T=[-1,1]$, $X=T-\{0\}$, $f(x)=$ sign of $x$.
Oct 14, 2010 at 14:37 comment added Nate Eldredge Indeed; the key property is uniform continuity.
Oct 14, 2010 at 14:33 history edited Martin Argerami CC BY-SA 2.5
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Oct 14, 2010 at 4:44 history answered Martin Argerami CC BY-SA 2.5