Timeline for Morse theory Vs degree theory
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 2, 2019 at 9:34 | vote | accept | Vrouvrou | ||
| Sep 13, 2014 at 6:13 | comment | added | Vrouvrou | Small question please, i don't know degree but why we can't use it in this case ? thank you | |
| Sep 12, 2014 at 11:58 | comment | added | Liviu Nicolaescu | That's the point. Degree theory is ineffective in this example, while Morse theory has plenty to say. The lower bounds on the number of solutions of $\nabla g=0$ are obtained using homology theory. | |
| Sep 12, 2014 at 10:12 | comment | added | Vrouvrou | i dont clearly understand your unswer because i don't know exactly how to find solutions using degree theory | |
| Sep 12, 2014 at 10:10 | comment | added | Vrouvrou | and from the relation between critical groups and Leray-schauder index, the fact that the Leray-schauder index is the Euler characteristic of the critical groups how it give us that Relative homology groups and critical groups provide both a finer structure and better estimate of the number of solutions? thank you | |
| Sep 12, 2014 at 9:45 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |