Timeline for Simplicial nerve of a topological group
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Jul 3, 2022 at 2:26 | vote | accept | Ken | ||
| Jul 2, 2022 at 18:24 | answer | added | Dmitri Pavlov | timeline score: 3 | |
| Jul 2, 2022 at 2:31 | comment | added | Ken | @TomGoodwillie By $BG$, I mean the base space of the universal principal $G$-bundle $p:EG\to BG$. And by the universal principal $G$-bundle, I mean that $p$ is a principal $G$-bundle with the property that, given a CW complex $B$, the pullback of the bundle $p$ induces a bijection between the set $\operatorname{Prin}_G(B)$ of isomorphism classes of principal $G$-bundles over $B$ and the set $[B,BG]$ of homotopy classes of maps $B\to BG$. | |
| Jul 2, 2022 at 1:35 | comment | added | Tom Goodwillie | What exactly do you mean by BG? | |
| Jul 2, 2022 at 0:03 | comment | added | Ken | @Konrad Waldorf Thank you for your attention. As far as I can tell, the Segal's paper you cited does not answer the question I had in mind. I apologize for not being clear about what I meant by homotopy coheret nerves; I hope that the edited question addresses my problem clearly. | |
| Jul 2, 2022 at 0:01 | history | edited | Ken | CC BY-SA 4.0 |
added details
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| Jul 1, 2022 at 14:34 | comment | added | Jeremy Brazas | related question: mathoverflow.net/questions/41616/… | |
| Jul 1, 2022 at 9:50 | answer | added | David White | timeline score: 3 | |
| Jul 1, 2022 at 9:48 | history | edited | David White | CC BY-SA 4.0 |
Fixed typo
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| Jul 1, 2022 at 7:24 | comment | added | Konrad Waldorf | Yes, that's all correct. See Graeme Segal's paper "Classifying spaces and spectral sequences", Section 3. | |
| Jul 1, 2022 at 0:23 | history | asked | Ken | CC BY-SA 4.0 |