Timeline for Diffeomorphic excision of a manifold
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2021 at 21:41 | comment | added | user171227 | Trivial comment: when $M$ is closed (compact no boundary) then this happens if and only if $A = \emptyset$. | |
| Jan 21, 2021 at 21:19 | comment | added | user171227 | Wild embeddings (like Alexander horned sphere) show that this can't be an intrinsic property of $A$. The $h$-cobordism theorem implies a non-trivial sufficient criterion: if $M$ and $M \setminus A$ are the interiors of compact simply connected $d$-manifolds with simply connected boundary and $d \geq 6$, then it suffices that $\check{H}^*_c(A) = 0$. | |
| Jan 21, 2021 at 19:56 | comment | added | Wojowu | Do you have any reason to expect there to be a reasonable such description? Is there one in the case of e.g. $M=\mathbb R^3$? | |
| Jan 21, 2021 at 19:47 | history | asked | Peter Plex | CC BY-SA 4.0 |