Timeline for Third differential in the homology AHSS
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 2, 2019 at 4:58 | vote | accept | Riccardo | ||
| Jun 30, 2019 at 20:41 | answer | added | John Rognes | timeline score: 8 | |
| Jun 29, 2019 at 22:22 | history | edited | Riccardo | CC BY-SA 4.0 |
added 246 characters in body
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| May 9, 2019 at 19:51 | comment | added | John Palmieri | A standard tool for relating mod $p$ homology to integral homology is the Bockstein spectral sequence. See pages.vassar.edu/mccleary/files/2011/04/MC10.fin_.pdf for example. | |
| May 8, 2019 at 22:12 | comment | added | Riccardo | I don't know how does it work. It would be really interesting though! Do you have any example/references where I can check out how does this reasoning work? | |
| May 8, 2019 at 20:53 | comment | added | John Palmieri | Can you work over $\mathbb{F}_p$ for each $p$ and then reassemble the results to recover what happens with integer coefficients? | |
| May 8, 2019 at 17:12 | comment | added | Riccardo | Wow, sadly the space I had in mind is the classifying space of some finite group, far from being closed/oriented (and even a manifold :( ) | |
| May 8, 2019 at 16:19 | comment | added | Mark Grant | If your $X$ is an orientable manifold, then maybe you can use that the homology SS is a module over the cohomology SS, as described in Ben Antieau's answer here: mathoverflow.net/a/186421/8103 | |
| May 8, 2019 at 14:21 | history | asked | Riccardo | CC BY-SA 4.0 |