Timeline for Homotopy classes of homeomorphisms of a multiple pointed space
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Oct 26, 2015 at 5:29 | vote | accept | A.T.Saaki | ||
| Oct 26, 2015 at 5:09 | comment | added | A.T.Saaki | Thanks! Now I know that the number of marked points plays an important role to construct the non-trivial kernel. By Epstein's result, a homotopy of a surface with none or one marked point can be improved to an isotopy. So for $g$ genus surfaces with $l$-$S^1$ boudaries, there must be a maximal number $N_{g,l}$ such that any homotopy of it can be improved to isotopy? Is there some exact formula for such $N_{g,l}$? Moreover, how about the same question if we replace $P$ as a collection of disjiont closed disks? | |
| Oct 26, 2015 at 1:30 | history | answered | Allen Hatcher | CC BY-SA 3.0 |