Timeline for cohomology version of Cartan-Leray spectral sequence that deduces cup product
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 31, 2016 at 22:29 | comment | added | jdc | @AlexDegtyarev: Would you happen to have a reference handy? | |
| Jun 10, 2015 at 8:31 | vote | accept | Shiquan Ren | ||
| Jan 14, 2015 at 9:54 | answer | added | Dan Petersen | timeline score: 5 | |
| Jan 14, 2015 at 9:53 | comment | added | Alex Degtyarev | There is such a version, and it is compatible with the products (in the usual sense: differentials obey the Leibnitz rule and all isomorphisms involved are multiplicative). Of course, you cannot get the product structure of the limit term, just the corresponding graded ring. | |
| Jan 14, 2015 at 9:20 | comment | added | user43326 | Doesn't it suffice to simply dualize? For the cup product structure, you need more than $H^*(X,k)$ and $H^*(\pi , k)$. You will need $H^*(\pi , H^*(X;k))$ (note that $\pi $ usually acts non-trivially on $H^*(X;k)$). | |
| Jan 14, 2015 at 9:15 | history | edited | Shiquan Ren | CC BY-SA 3.0 |
added 128 characters in body
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| Jan 14, 2015 at 9:02 | history | asked | Shiquan Ren | CC BY-SA 3.0 |