Timeline for $c^\infty$-topologies on spaces of compactly supported sections and their products
Current License: CC BY-SA 3.0
6 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Aug 24, 2013 at 9:33 | history | edited | TaQ | CC BY-SA 3.0 |
added 430 characters in body
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| Aug 23, 2013 at 11:46 | history | edited | TaQ | CC BY-SA 3.0 |
added 1352 characters in body
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| Aug 22, 2013 at 11:37 | vote | accept | fhanisch | ||
| Aug 22, 2013 at 11:36 | comment | added | fhanisch | Thanks a lot ! That's a really nice and simple way to show that the identity is not a homeomorphism. Since the spaces of compactly supported sections of different vector bundles are isomorphic as lcs (see e.g. proof of Theorem I.6.14 in Kriegl's and Michor's book and the refs in there), it is probably not even necessary to modify the proof for the more general case, assuming that the base manifold is non-compact and ranks of bundles are nonzero. | |
| Aug 21, 2013 at 9:34 | history | answered | TaQ | CC BY-SA 3.0 |