Timeline for Homotopy classes of homeomorphisms of a multiple pointed space
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2015 at 5:29 | vote | accept | A.T.Saaki | ||
| Oct 26, 2015 at 1:30 | answer | added | Allen Hatcher | timeline score: 5 | |
| Oct 23, 2015 at 1:41 | comment | added | A.T.Saaki | Generally speaking, $[Homeo(S)]_{isotopy}$ with respect to some (bigger than 2) marked points is a non-tirvial group, see the definition of mapping class group in 'A primer on mapping class groups Version 5.0' by Benson Farb and Dan Margalit. | |
| Oct 22, 2015 at 11:09 | comment | added | Giovanni Moreno | If there are no obstruction to the existence of a (non relative) isotopy connecting $h$ with the identity, then I guess that such an isotopy can be made into a relative to $P$ one. A relative isotopy is a special map from the cylinder $M\times [0,1]$ to $M$, sending each segment $\{p_i\}\times[0,1]$ to $p_i$, and I don't see why not a non relative one could not be suitably deformed to fulfill such a property. But this is just a guess. | |
| Oct 22, 2015 at 8:55 | history | asked | A.T.Saaki | CC BY-SA 3.0 |