Timeline for Classifying map of a principal bundle
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 21, 2014 at 17:10 | vote | accept | Ma Ming | ||
| Jan 20, 2014 at 23:51 | comment | added | David Roberts♦ | I'm not 100% sure about the universal property of the homotopy pullback square (even though you do get a square commutative up to a homotopy arising from the nat. iso), but that would give you the space $P$. I'm not so sure about it giving the structure of $P$ as a $G$-bundle, but it is plausible. | |
| Jan 20, 2014 at 12:54 | comment | added | Ma Ming | Thanks a lot. I have an alternative argument, which seems not very rigorous. We have a weak pullback square $\underline{P}\to P\rtimes G$, over $*\to *\rtimes G$. Taking nerve and geometric realization weak pullback square becomes(?) homotopy pullback square. | |
| Jan 19, 2014 at 23:59 | history | edited | David Roberts♦ | CC BY-SA 3.0 |
added 471 characters in body
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| Jan 19, 2014 at 23:43 | history | answered | David Roberts♦ | CC BY-SA 3.0 |