Timeline for Is L-S category estimating the number of components of the critical set?
Current License: CC BY-SA 3.0
5 events
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| Aug 21, 2016 at 5:30 | comment | added | Mark Grant | You might be interested in Morse-Bott homology. As well as the original paper of Bott on periodicity, this is discussed in an article of Austin and Braam. I can dig out the precise references later if you like. | |
| Aug 20, 2016 at 20:06 | vote | accept | user94090 | ||
| Aug 20, 2016 at 20:06 | comment | added | user94090 | Thank you for the answer, I see that this is not the right question. Anyway, I have in mind some examples, when the function has some number of components of the critical set and it seems stable by perturbations. So, I wondered what invariant would be responsible for that. | |
| Aug 20, 2016 at 6:11 | history | edited | Mark Grant | CC BY-SA 3.0 |
Added easier example
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| Aug 20, 2016 at 5:53 | history | answered | Mark Grant | CC BY-SA 3.0 |