Timeline for Does direct limit commute with functor of smooth sections?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2012 at 16:21 | vote | accept | Vít Tuček | ||
| Mar 12, 2012 at 14:14 | answer | added | Andrew Stacey | timeline score: 7 | |
| Mar 12, 2012 at 13:20 | comment | added | Deane Yang | I'm in way over my head here, but I am under the impression that the definition of a direct limit already implies a topological structure, where smooth sections are those that remain inside some finite dimensional subbundle. So the equation still holds more or less by definition. | |
| Mar 12, 2012 at 12:08 | comment | added | Vít Tuček | You are right, the setting is also not very clear to me. I've changed my question accordingly. | |
| Mar 12, 2012 at 12:07 | history | edited | Vít Tuček | CC BY-SA 3.0 |
clarified the question a bit
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| Mar 12, 2012 at 10:10 | comment | added | Deane Yang | What category are you working in? If it's finite rank vector bundles under inclusion, then the sequence of vector bundles has to stabilize at some point to a fixed vector bundle of finite rank. So the equation holds trivially. | |
| Mar 12, 2012 at 10:02 | history | asked | Vít Tuček | CC BY-SA 3.0 |