Timeline for Splitting of Atiyah-Hirzebruch Spectral Sequence
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2019 at 18:48 | comment | added | user43326 | The point is that since A and B are supposed to be finite, the Kunneth isomorphism holds only in very few cases (there won't be situations like Landweber-flat), so you get Kunneth isomorphism everywhere in sight. That is either $\pi _*(E)$ is field, or one of $H_^*(A)$ or $H^*(B)$ is torsion-free. Thus $H^*(A\times B \pi_*(E))\cong H^*(A),\pi _*(E))\times H^*(B),\pi _*(E))$ | |
| Sep 4, 2019 at 16:41 | comment | added | Monkey.D.Luffy | It may not be a spectral sequence because of Kunneth formula. | |
| Sep 4, 2019 at 13:18 | comment | added | user43326 | Actually the thread you quote says that there is natural construction for the tensor product in the case you are talking about. | |
| Sep 3, 2019 at 21:10 | review | First posts | |||
| Sep 4, 2019 at 1:16 | |||||
| Sep 3, 2019 at 21:10 | history | asked | Monkey.D.Luffy | CC BY-SA 4.0 |