Timeline for Betti numbers of non-orientable $3$-manifolds
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 30, 2023 at 15:46 | comment | added | Alessio Di Prisa | Thank you for the answer! However I don't think it fully answers my question. In these terms what I would like to know is if $\dim\ker(H_1(\partial M;\mathbb{Q}^w)\rightarrow H_1(M,\mathbb{Q}^w))$ has to be bounded in some way. It seems to me that a priori it could happen that $\dim\ker(H_1(\partial M;\mathbb{Q}^w)\rightarrow H_1(M,\mathbb{Q}^w))=\dim H_1(\partial M;\mathbb{Q})$, or in any case that $\ker(H_1(\partial M;\mathbb{Q}^w)\rightarrow H_1(M,\mathbb{Q}^w))$ is "too big" while $\ker(H_1(\partial M;\mathbb{Q})\rightarrow H_1(M,\mathbb{Q}))$ is "too small". | |
| Oct 29, 2023 at 14:54 | history | edited | Michael Albanese | CC BY-SA 4.0 |
added 70 characters in body
|
| S Oct 29, 2023 at 14:43 | review | First answers | |||
| Oct 29, 2023 at 14:55 | |||||
| S Oct 29, 2023 at 14:43 | history | answered | wpolitarczyk | CC BY-SA 4.0 |