Timeline for Is there a 2-categorical, equivariant version of Quillen's Theorem A?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2022 at 20:57 | comment | added | Benjamin Steinberg | @ViditNanda thanks | |
| Sep 6, 2022 at 20:27 | comment | added | Vidit Nanda | @BenjaminSteinberg sorry, no. I managed to bypass the need for it after several failed attempts at googling | |
| Aug 16, 2022 at 13:14 | comment | added | Benjamin Steinberg | Did you ever find a reference for the 1-categorical version? I need it for a paper and I'm not sure my target audience would easily be able to see it follows from Tim's references which prove more general.things. | |
| Jan 9, 2021 at 5:36 | comment | added | Tim Campion | For a more point-set-style approach to equivariant cofinality, see Theorem 2.25 of Dotto and Moi's Homotopy theory of $G$-diagrams and equivariant excision. | |
| Jan 9, 2021 at 5:34 | comment | added | Tim Campion | You say you want to avoid $\infty$-categories, but as nobody has provided such an answer, perhaps it's worth mentioning that Quillen's Theorem A has a natural strengthening $\infty$-categorically: an $\infty$-functor satisfies the the hypotheses of Quillen's Theorem A if and only if it is cofinal. See HTT 4.1.3. One place the equivariant (over a finite group) version of this is carried out is (in in the more general setting of parametrized $\infty$-category theory) in Thm 6.7 of Jay Shah's thesis Parametrized Higher Category Theory. | |
| Nov 22, 2020 at 10:52 | history | asked | Vidit Nanda | CC BY-SA 4.0 |