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Mar 12, 2013 at 14:37 vote accept H. Shindoh
Mar 12, 2013 at 14:27 comment added Eric Wofsey Something like $f(x)=e^{-1/x^2}\sin(1/x)$ should work.
Mar 12, 2013 at 14:20 comment added H. Shindoh I see. Do you have any explicit example of your $f$?
Mar 12, 2013 at 14:15 history edited Eric Wofsey CC BY-SA 3.0
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Mar 12, 2013 at 14:11 comment added Piotr Pstrągowski I love this counterexample! It's so simple.
Mar 12, 2013 at 14:04 history edited Eric Wofsey CC BY-SA 3.0
added 246 characters in body
Mar 12, 2013 at 14:01 comment added Andrej Bauer $Z$ is the space of natural numbers with discrete topology.
Mar 12, 2013 at 14:00 comment added Eric Wofsey $Z$ is just an infinite discrete space.
Mar 12, 2013 at 13:57 comment added H. Shindoh Can you give me an explicit description of $Z$?
Mar 12, 2013 at 13:38 history answered Eric Wofsey CC BY-SA 3.0