Timeline for line bundles and universal covers
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 24, 2012 at 20:15 | comment | added | Ulrich Pennig | @Mark: seems so, but this is odd, I thought that there would be a much more "intrinsic" (or less homotopy theoretic) construction in the lines of what you suggested, but maybe that can not be done. | |
| Jul 24, 2012 at 19:58 | comment | added | Mark Grant | @Will and @Ulrich: It seems my guess was off (by one delooping). Perhaps Eric's answer is the best one can do. | |
| Jul 24, 2012 at 15:31 | comment | added | Ulrich Pennig | In the case I have in mind, $G$ is a perfect group. So - as Will already pointed out, it could be the case that there is no non-trivial homomorphism $G \to S^1$. | |
| Jul 24, 2012 at 14:50 | comment | added | Will Sawin | This can't be true because some simple Lie groups have fundamental group $\mathbb Z$. | |
| Jul 24, 2012 at 14:21 | history | answered | Mark Grant | CC BY-SA 3.0 |