Timeline for Does there exist a class of real-valued upper semicontinuos functions on $X$ such that $\mathcal{F}$ is countable?
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| Apr 15, 2017 at 16:16 | vote | accept | Idonknow | ||
| Apr 14, 2017 at 2:50 | history | edited | Idonknow |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Apr 13, 2017 at 12:12 | answer | added | Idonknow | timeline score: 0 | |
| Apr 13, 2017 at 12:04 | comment | added | Idonknow | @NikWeaver: The $f$ is not the infimum of a class of upper semicontinuous functions, as the infimum should be upper semicontinuous. | |
| Apr 13, 2017 at 4:33 | comment | added | Nik Weaver | Consider the function $f: \mathbb{R} \to \mathbb{R}$ defined by $f(x) = 0$ for $x \leq 0$ and $f(x) = 1$ for $x > 0$. Is it the infimum of a class of upper semicontinuous functions? | |
| Apr 13, 2017 at 3:56 | history | edited | Idonknow |
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| Apr 13, 2017 at 3:40 | history | asked | Idonknow | CC BY-SA 3.0 |