Timeline for Given $f$ continuous, find $g$ smooth such that $g→0$ when $f→0$ and vice versa
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 20, 2022 at 15:30 | comment | added | Joseph Van Name | I wonder if this result holds even if we consider non-paracompact smooth manifolds. The result holds for the long line (which, by a result of Peter Nyikos, has $2^{\aleph_{1}}$ non-diffeomorphic smoothings on it) since if $L$ is the long line, then every continuous function $f:L\rightarrow\mathbb{R}$ is eventually constant. | |
| Jan 19, 2022 at 17:17 | answer | added | Joseph Van Name | timeline score: 2 | |
| Jan 19, 2022 at 6:13 | answer | added | LeechLattice | timeline score: 4 | |
| Jan 18, 2022 at 15:11 | history | asked | Gro-Tsen | CC BY-SA 4.0 |