Timeline for Simplicial manifold associated to Lie groupoid
Current License: CC BY-SA 4.0
10 events
when toggle format | what | by | license | comment | |
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Jul 8, 2019 at 6:00 | comment | added | Praphulla Koushik | Ok. I will try it by myself.. | |
Jul 8, 2019 at 0:20 | comment | added | David Roberts♦ | However, it's not difficult to prove that every simplicial map comes from a unique functor: there's only one thing the functor could be, and one just has to check preservation of composition, which is a short lemma. Try it yourself! | |
Jul 7, 2019 at 22:59 | comment | added | Praphulla Koushik | Ok.. I will see and confirm page number. Thanks . | |
Jul 7, 2019 at 22:14 | comment | added | David Roberts♦ | I think it's Higher-dimensional torsors and the cohomology of topoi: the abelian theory... | |
Jul 7, 2019 at 20:13 | comment | added | Praphulla Koushik | Is it Simplicial methods and the interpretation of “triple” cohomology or Higher-dimensional torsors and the cohomology of topoi: the abelian theory or some other lecture notes. | |
Jul 7, 2019 at 12:05 | comment | added | David Roberts♦ | I think it is in a monograph by Duskin, but the usual proof for small categories and simplicial sets should adapt fine. This is originally due to Grothendieck, but there must be more recent treatments; I'll have to dig around. | |
Jul 7, 2019 at 10:18 | vote | accept | Praphulla Koushik | ||
Jul 7, 2019 at 10:18 | comment | added | Praphulla Koushik | Can you suggest some reference where this has been discussed.. | |
Jul 7, 2019 at 8:52 | comment | added | Praphulla Koushik | I did not knew about this.... nerve functor from “groupoid objects” in a category to “simplicial objects” in the same category is fully faithful... ok.. | |
Jul 7, 2019 at 8:46 | history | answered | David Roberts♦ | CC BY-SA 4.0 |