Timeline for References on principal $\mathbf{C}$-bundles, where $\mathbf{C}$ is a category?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 27, 2023 at 20:25 | comment | added | Konrad Waldorf | For $C$ a topological groupoid, this is a well-established structure with plenty of older references. See, e.g. Def. 61 in arxiv.org/pdf/math/0306176.pdf, or the nlab-page ncatlab.org/nlab/show/groupoid+principal+bundle, or Section 2.2 in arxiv.org/pdf/1103.4815.pdf. | |
| Mar 26, 2023 at 15:52 | answer | added | John Rognes | timeline score: 2 | |
| Mar 26, 2023 at 12:26 | answer | added | Dmitri Pavlov | timeline score: 4 | |
| Mar 26, 2023 at 10:01 | comment | added | Marc Hoyois | Your hope is only possible when $\mathbf C$ is a groupoid. Otherwise, maps from $\Pi_1 X$ to $\mathbf C$ only depend on the maximal subgroupoid of $\mathbf C$, while maps from $X$ to $B\mathbf C$ only depend on the ($\infty$-)groupoid completion of $\mathbf C$. | |
| Mar 25, 2023 at 23:15 | comment | added | Benjamin Steinberg | Also this ivv5hpp.uni-muenster.de/u/mweis_02/preprints/catnotes.pdf | |
| Mar 25, 2023 at 23:14 | comment | added | Benjamin Steinberg | You might find this question helpful mathoverflow.net/questions/23857/… | |
| Mar 25, 2023 at 20:54 | history | asked | Tanny Sieben | CC BY-SA 4.0 |