Timeline for To what extent is convexity a local property?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Apr 22, 2010 at 13:02 | comment | added | Nathan Reading | Thanks. You were right about the pre-80's book being the best bet. The Valentine reference that Ivanov pointed out has this and some variations. | |
| Apr 22, 2010 at 12:58 | vote | accept | Nathan Reading | ||
| Apr 22, 2010 at 12:58 | |||||
| Apr 21, 2010 at 18:48 | comment | added | fedja | Any topological linear space is OK. If a and b are in an open set G and G is connected, you can join them by a broken line. Now just consider the section of G by the finite-dimensional subspace that contains that broken line. | |
| Apr 21, 2010 at 17:36 | comment | added | Nate Eldredge | Seems like this would still work if you replace $\mathbb{R}^n$ by a Banach space, but the completeness seems to be used in an essential way. Is there a counterexample for an incomplete normed space? | |
| Apr 21, 2010 at 17:31 | history | edited | Harry Gindi | CC BY-SA 2.5 |
fixed bugged latex
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| Apr 21, 2010 at 17:27 | history | answered | fedja | CC BY-SA 2.5 |