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Feb 4, 2014 at 0:40 comment added Vít Tuček Thank you for reminding me how very powerful the partition of unity can be. Just compare this result with the fact that nontrivial holomorphic function can have only isolated zeros.
Feb 3, 2014 at 21:31 comment added Mohammad Farajzadeh-Tehrani @ Dima: I did not go through all the details of question\198748 but is it it clear that the resulting f is not equal to 1 elsewhere.
Feb 3, 2014 at 20:41 comment added Alex Degtyarev @DimaPasechnik: Yep! As I said, I learned it as a homework myself, and now I'm giving this as a homework in my classes :)
Feb 3, 2014 at 20:34 comment added Dima Pasechnik OK: math.stackexchange.com/questions/198748/…
Feb 3, 2014 at 20:30 comment added Alex Degtyarev @DimaPasechnik: It's close but not quite the same :) Important is the smoothness, which makes no sense in Urysohn's setting.
Feb 3, 2014 at 20:26 comment added Dima Pasechnik en.wikipedia.org/wiki/Urysohn's_lemma IIRC...
Feb 3, 2014 at 18:41 history answered Alex Degtyarev CC BY-SA 3.0