Timeline for Fiber bundle in smooth category and topological category
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21, 2015 at 0:45 | comment | added | skupers | @JohnKlein: Thanks, I should have been more precise. I meant that there is a model of $BG$ such that there exist smooth manifolds $(BG)_i$ and maps $(BG)_i \to BG$ that are $i$-connected. One explicit construction of such $(BG)_i$ is given by embedding $G$ in some $O(n)$ (that is, finding a faithful orthogonal representation) and taking quotients of Stiefel manifolds. | |
| Apr 20, 2015 at 21:31 | comment | added | John Klein | @skupers: your remark doesn't have any meaning unless you say which version of $BG$ you are using. $BG$ has many different (albeit homotopy equivalent) versions. | |
| Apr 18, 2015 at 0:54 | comment | added | David Roberts♦ | By math.stackexchange.com/questions/298873 | |
| Apr 17, 2015 at 23:37 | comment | added | skupers | This should be true, at least if $G$ is compact, by the existence of approximations of $BG$ by finite dimensional smooth manifolds and smooth approximation of continuous functions. | |
| Apr 17, 2015 at 21:13 | comment | added | Fernando Muro | @IgorBelegradek the space $BG$ is not a manifold, right? What do you mean by a smooth map into it? | |
| S Apr 17, 2015 at 18:17 | history | edited | coudy | CC BY-SA 3.0 |
corrected spelling
|
| S Apr 17, 2015 at 18:17 | history | suggested | user70655 | CC BY-SA 3.0 |
corrected spelling
|
| Apr 17, 2015 at 18:15 | review | Suggested edits | |||
| S Apr 17, 2015 at 18:17 | |||||
| Apr 17, 2015 at 18:04 | comment | added | Michael Albanese | Crossposted on MSE. | |
| Apr 17, 2015 at 17:57 | review | First posts | |||
| Apr 17, 2015 at 18:00 | |||||
| Apr 17, 2015 at 17:53 | history | asked | syms | CC BY-SA 3.0 |