Timeline for Morse approximation with bounded number of critical points
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 28 at 8:15 | answer | added | user527492 | timeline score: 0 | |
| Aug 27, 2021 at 12:41 | comment | added | Marco Mazzucchelli | As far as I know, even a seemingly easier question is open: given a smooth function f defined on an open set U of the Euclidean space (dimension 2 is hard enough) with a unique critical point x, is there a sequence of Morse functions on U converging to f in the C^1 topology and having a uniform upper bound on the number of their critical points? This was asked in a 1969 paper of Gromoll and Meyer ("On differentiable functions with isolated critical points"), and I am not aware of any progress since. | |
| Aug 20, 2021 at 7:49 | answer | added | Pietro Majer | timeline score: 5 | |
| Aug 20, 2021 at 7:05 | history | asked | cork_twist | CC BY-SA 4.0 |