Timeline for If $H_i(U_j)=0$ for infinitely many $j$ then $H_i(X)=0$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 6, 2021 at 14:37 | comment | added | abx | @Wojuwu: OK, right. | |
| Nov 6, 2021 at 13:05 | comment | added | Wojowu | @abx Those conditions are always satisfied if the subspaces $X_\alpha$ (in Hatcher's notation) are open. So this actually gives a complete answer to the question asked. | |
| Nov 6, 2021 at 11:23 | comment | added | Connor Malin | @abx If $X$ is compact then the question asked is trivial. | |
| Nov 6, 2021 at 10:50 | comment | added | abx | I find these "mild" assumptions rather strong — in particular they are not satisfied if $X$ is compact. | |
| Nov 6, 2021 at 10:42 | history | answered | Greg Friedman | CC BY-SA 4.0 |