Timeline for Does a $C^1$ perturbation induces diffeomorphic level set?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 9, 2023 at 5:31 | vote | accept | GHG | ||
| Sep 8, 2023 at 7:22 | comment | added | GHG | Thank you very much! I heard about Ehresmann's Theorem during my graduate course, but I had almost forgotten it! The linked Ehresmann's Theorem is a smooth version, so I searched and found $C^2$ and $C^1$ versions of the theorem [mathoverflow.net/q/184313/498665]. As far as I understand it, for $C^2$ functions, manifolds are $C^2$-diffeomorphic, and for $C^1$ functions, level sets are (at least) homeomorphic. Thank you very much again! | |
| Sep 8, 2023 at 7:22 | vote | accept | GHG | ||
| Sep 9, 2023 at 5:31 | |||||
| Sep 7, 2023 at 12:17 | history | answered | J. Doe | CC BY-SA 4.0 |