Timeline for Generalizations of the handle trading techniques
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 10, 2016 at 23:21 | comment | added | Danny Ruberman | Well, I wouldn't say it that way; what's currently known as "Morse homology" (in the finite dimensional setting) is really an extension of Smale's work. | |
| Jul 10, 2016 at 5:30 | comment | added | Shinichiro Nakamura | @Ruberman Thank you for your comments. So, you say that theorem 6.1 in the Smale's paper can be easily deduced from Morse homology arguments, doesn't it? | |
| Jun 19, 2016 at 14:18 | comment | added | Danny Ruberman | There is a lot written on the subject of how to compute the homology groups of a manifold from a Morse function. Google "Morse homology" and you'll find lots of references. | |
| Jun 19, 2016 at 11:53 | comment | added | Shinichiro Nakamura | @Ruberman Thank you. I was amazed that we can detect torsion number from Morse functional information. But some proofs in this paper are often sketchy and several misprints make hard to read for me. Can we get another reference that explains the Smale's theorems? | |
| Jun 17, 2016 at 12:23 | history | answered | Danny Ruberman | CC BY-SA 3.0 |