Timeline for Cohomology algebra of a fibration whose spectral sequence degenerates in the second term
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 25, 2019 at 14:35 | comment | added | user43326 | OK, there is one more generator in $H^2$ because of the $H^0$ of the base space, but the point is that we don't get tensor product because $x^2\neq 0$. | |
| Dec 25, 2019 at 14:02 | vote | accept | asv | ||
| Dec 25, 2019 at 13:54 | comment | added | asv | @user43326: The cohomology should be 4-dimensional. | |
| Dec 25, 2019 at 11:58 | comment | added | user43326 | @MKO $Z[x]/x^3$ with $deg(x)=2$. | |
| Dec 25, 2019 at 11:56 | answer | added | user43326 | timeline score: 5 | |
| Dec 25, 2019 at 10:40 | comment | added | asv | @GustavoGranja: What is cohomology ring of that space? | |
| Dec 25, 2019 at 10:00 | comment | added | Gustavo Granja | A counterexample is the non-trivial S^2 bundle over S^2 (equivalently the blow-up of CP^2 at one point). | |
| Dec 24, 2019 at 10:46 | comment | added | user43326 | If you have an isomorphism, it will be compatible with the two maps by naturality. However, in general there can be an algebra extension problem, if I am not mistaken. | |
| Dec 24, 2019 at 10:23 | history | asked | asv | CC BY-SA 4.0 |