Timeline for Reference for push-pull formula in cohomology
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 25, 2016 at 8:57 | comment | added | Mark Grant | @DylanWilson: Ah yes, I think I remember how to prove it now (factorize $g$ through an embedding into a trivial bundle over $B$, then use naturality of Thom and suspension isomorphisms). I'm a little surprised that there does not seem to be a good reference for this statement in full generality, but I'm happy to accept that it might not need one :) | |
| Jul 23, 2016 at 9:13 | answer | added | user51223 | timeline score: 2 | |
| Jul 22, 2016 at 20:48 | comment | added | Dylan Wilson | The statement when f and g are embeddings is in Bredon's Topology and Geometry (and many other books)... after looking through the sections a bit, I think the proof basically appears in that book, it's just never stated. He gets close when he's doing Lefschetz numbers, though... In any case, the general case is pretty easily reduced to the case of an embedding. Nowadays, you could also do a modern proof using Atiyah duality, I think. | |
| Jul 22, 2016 at 10:36 | comment | added | Thomas Rot | I was thinking of Topology and geometry. I don't have the book in front of me so I could be mistaken. Sorry that my previous comment was so brief: Someone came in to my office while I was typing this and I forgot about it. | |
| Jul 22, 2016 at 9:21 | comment | added | Mark Grant | @ThomasRot: Are you talking about his Sheaf cohomology book, or Topology and Geometry? I've briefly looked in both, but could take a closer look. | |
| Jul 22, 2016 at 9:19 | comment | added | Thomas Rot | Bredon must have this. | |
| Jul 22, 2016 at 8:29 | history | asked | Mark Grant | CC BY-SA 3.0 |