Timeline for Immersions of manifolds with boundary (regular homotopy classes, h-principle)
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 28, 2017 at 9:27 | comment | added | Haggai Nuchi | Very interesting idea @IgorKhavkine! I'll think about that. In the example I gave, it feels like your construction takes regular homotopy classes injectively to regular homotopy classes of the circle in the cylinder. (to the even integers?) Thanks! | |
| Oct 28, 2017 at 9:24 | answer | added | Oscar Randal-Williams | timeline score: 4 | |
| Oct 28, 2017 at 8:55 | comment | added | Igor Khavkine | Quick thought, you can get rid of the boundary by going to the compact double, $M \sqcup_{\partial M} (-M)$, that is $M$ glued to an orientation reflected copy of itself along $\partial M$, and same with $N$. I suspect that this can be made to play nice with both immersions and homotopy classes, though I wouldn't guess exactly how. | |
| Oct 28, 2017 at 3:51 | review | First posts | |||
| Oct 28, 2017 at 6:36 | |||||
| Oct 28, 2017 at 3:49 | history | asked | Haggai Nuchi | CC BY-SA 3.0 |