Timeline for Relationship between Smith's special homology groups and equivariant homology theory
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 16, 2018 at 10:00 | comment | added | Tyler Lawson | @Andy Wow, that was fast editing. I'm glad this was useful to you. | |
| Sep 16, 2018 at 3:22 | comment | added | Andy Putman | I want to thank you again. Bredon homology is really nice (and remarkably natural; I think I was secretly thinking in terms of it without knowing so). I rewrote my notes in that language. | |
| Sep 14, 2018 at 20:29 | comment | added | Tyler Lawson | I agree completely with Mike. Borel equivariant theory is really useful and shows up everywhere, no matter what anyone says, but one of the really nice things about Bredon theory is the ability to laser in and prescribe exactly how much information each type of isotropy will contribute. | |
| Sep 14, 2018 at 17:04 | comment | added | Andy Putman | @MikeMiller: Indeed, that's what I've learned from this answer. My next step will be to actually learn more about Bredon cohomology! | |
| Sep 14, 2018 at 16:38 | comment | added | mme | @AndyPutman Borel and Bredon are, to my mind, very different creatures. I use Borel stuff a lot because it happens to be applicable in stuff I know, but Bredon cohomology also has interesting things to say about fixed point theory and manifolds with $G$-action (that is more compatible with Poincare duality). | |
| Sep 14, 2018 at 16:34 | comment | added | Andy Putman | This is great, thanks! I had always resisted learning about Bredon cohomology because I assumed that it was just a technical improvement on the Borel construction (which was an interpretation of comments from a certain senior algebraic topologist who told me that no one cares about Borel equivariant cohomology since Bredon cohomology was obviously the right way to do equivariant cohomology; since I have used Borel's stuff a lot, I bullheadedly chose to ignore this advice!). | |
| Sep 14, 2018 at 16:18 | vote | accept | Andy Putman | ||
| Sep 14, 2018 at 10:07 | history | answered | Tyler Lawson | CC BY-SA 4.0 |