Timeline for Kunneth Theorem and localisation
Current License: CC BY-SA 3.0
15 events
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| May 5, 2017 at 20:44 | answer | added | Nicholas Kuhn | timeline score: 9 | |
| S May 5, 2017 at 19:14 | history | suggested | CommunityBot | CC BY-SA 3.0 |
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| May 5, 2017 at 19:05 | review | Suggested edits | |||
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| May 5, 2017 at 18:43 | history | edited | user51223 | CC BY-SA 3.0 |
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| May 5, 2017 at 18:37 | history | edited | user51223 | CC BY-SA 3.0 |
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| May 5, 2017 at 14:37 | answer | added | Jeff Strom | timeline score: 7 | |
| May 5, 2017 at 11:59 | comment | added | Sean Tilson | And maybe you want to replace the cartesian product with a smash product, otherwise you would tensoor over something else since $S^0$ is not the monoidal unit. | |
| May 5, 2017 at 11:58 | comment | added | Sean Tilson | Right, so what you are asking for is conditions under which it might collapse, and these are homological in nature, because of the spectral sequence. This is why I suggest looking at the KSS. I don't know how the E-local KSS works, but that might address your other questions. In general, I am not sure how you would go about proving the Kunneth theorem without using the KSS. It seems like the easiest way to do such a thing. | |
| May 5, 2017 at 11:52 | history | edited | user51223 | CC BY-SA 3.0 |
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| May 5, 2017 at 11:34 | comment | added | user51223 | @SeanTilson I know that such a spectral sequence exists, but I am interested in the Kunneth theorem. I have edited the question, and put more explanation on the motivation. | |
| May 5, 2017 at 11:04 | comment | added | Sean Tilson | The statement you want regarding homotopy of localizations is probably not going to be true. Recall that $S^0\wedge S^0=S^0$. I guess then you would replace this by a pair $X$ and $Y$, this is also unlikely to be true. I think what you should look at is the Kunneth spectral seqeuence which exists in general. | |
| May 5, 2017 at 10:42 | history | edited | user51223 | CC BY-SA 3.0 |
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| May 5, 2017 at 10:29 | answer | added | Neil Strickland | timeline score: 18 | |
| May 5, 2017 at 9:25 | history | edited | user51223 | CC BY-SA 3.0 |
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| May 5, 2017 at 8:54 | history | asked | user51223 | CC BY-SA 3.0 |