Timeline for Space of sections of a fibre bundle with non-compact base space
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2013 at 12:08 | comment | added | Andrew Stacey | If your fibres are vector/affine bundles then the space of sections will be a vector space/affine space and then you can treat it as such. Then (I think) you get a locally convex topology from your construction (if M is sigma-compact then the topology is Frechet, I think) so you have a locally convex topological vector space and you can work with that as a smooth space. So it is a manifold, but for slightly the wrong reason! | |
| Jan 2, 2013 at 11:01 | vote | accept | Tobias Diez | ||
| Jan 2, 2013 at 11:01 | |||||
| Jan 2, 2013 at 10:58 | comment | added | Tobias Diez | Thanks for this clear and vivid explanation, I think I got the point! Do you know any results, if I have such a additive structure on $E$ available (e.g. vector or affine bundles)? | |
| Dec 17, 2012 at 8:04 | history | answered | Andrew Stacey | CC BY-SA 3.0 |