Timeline for Serre spectral sequence degeneration in homology vs cohomology
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 29, 2023 at 3:48 | comment | added | David Roberts♦ | Just a comment about the twisted coefficient UCT: see Maxime Ramzi's A note on the universal coefficient theorem with twisted coefficients sites.google.com/view/maxime-ramzi-en/notes/twisted-uct | |
| Nov 19, 2018 at 16:37 | comment | added | Laura | @MarkGrant: I hadn't noticed the finite-type assumption, but thankfully that condition is satisfied in all the examples I care about! | |
| Nov 18, 2018 at 17:08 | comment | added | Mark Grant | @archipelago: You're right, I wasn't aware of this but now I see it is an exercise in Spanier's book (on page 283). Do you know another reference for this? | |
| Nov 18, 2018 at 15:44 | comment | added | archipelago | There is a version of the universal coefficient theorem for homology with twisted coefficients. You more or less gave a proof for it. | |
| Nov 18, 2018 at 8:35 | comment | added | Mark Grant | You're welcome. I just realized that my answer assumes that $E$ and $F$ are finite type. Maybe in the general case there's still scope for a counter-example. | |
| Nov 17, 2018 at 22:02 | vote | accept | Laura | ||
| Nov 17, 2018 at 19:34 | history | edited | Mark Grant | CC BY-SA 4.0 |
Some F's had become X's
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| Nov 17, 2018 at 18:19 | history | answered | Mark Grant | CC BY-SA 4.0 |