Timeline for Is every real vector bundle over the circle necessarily trivial?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8, 2010 at 7:58 | vote | accept | Orbicular | ||
| Sep 8, 2010 at 2:37 | comment | added | Victor Protsak | Theo, in deference to your request, I am not voting to close, but "young researcher starting to get a feel for the area" is a grossly inaccurate description. Perhaps, "a student learning about vector bundles for the first time" (and who can't be bothered to read a textbook on the subject) is closer to the mark. | |
| Sep 7, 2010 at 19:24 | answer | added | Dan Ramras | timeline score: 15 | |
| Sep 7, 2010 at 19:12 | comment | added | Theo Johnson-Freyd | Although @Mariano's and @algori's comments do make (the main part of) this question "no longer relevant", I disagree with the votes to close this question. Rather, Mariano should leave his comment as an answer. Moreover, the question may have more content: "what are sufficient conditions" could have an interesting answer, especially for a young researcher starting to get a feel for the area. | |
| Sep 7, 2010 at 15:21 | comment | added | Qfwfq | See also: mathoverflow.net/questions/22950/… | |
| Sep 7, 2010 at 15:07 | comment | added | algori | ... and if you embed the circle in the M\"obius band as the zero section, you get a nontrivial bundle as the pullback of a tangent bundle. In general, the pullback of a tangent bundle is non-trivial iff the loop is orientation-reversing. | |
| Sep 7, 2010 at 14:49 | comment | added | Mariano Suárez-Álvarez | The Moebius band is a non-trivial vector bundle: it does not have a non-zero section. | |
| Sep 7, 2010 at 14:40 | history | asked | Orbicular | CC BY-SA 2.5 |