Timeline for A characterization of convexity
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2021 at 19:59 | comment | added | Alex M. | @Farhad: That proposition seems to deal only with $k$-convexity, without relating it to convexity, right? How, then, does it address the question? | |
| Jun 8, 2021 at 14:31 | comment | added | Farhad | The article arxiv.org/abs/1711.02045 answers your question, see Prop. 2.5, and explains the extent of generalisation you can expect. Cheers! \ | |
| Jan 11, 2016 at 2:02 | comment | added | Włodzimierz Holsztyński | @CristosA.Ruiz, I feel that it would be cleaner to state in your question: "connected and simply connected". (In topology we say "connected up to dimension $n-1$, and similar; we don't say connected in dimension $n-1$--ok, not often :-). | |
| Jan 11, 2016 at 1:52 | comment | added | Włodzimierz Holsztyński | @CristosA.Ruiz, actually it should be $2$-planes (together with $0$- and $1$-connectedness). More generally, one could consider $k$-planes and $j$-connectedness for every $j=0\ 1\ \ldots\ k-1$. | |
| May 6, 2013 at 7:15 | history | edited | Cristos A. Ruiz | CC BY-SA 3.0 |
corrected spelling
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| Jun 24, 2010 at 18:21 | vote | accept | Cristos A. Ruiz | ||
| Jun 22, 2010 at 0:01 | answer | added | Igor Pak | timeline score: 17 | |
| Jun 21, 2010 at 22:42 | answer | added | Victor Protsak | timeline score: 2 | |
| Jun 21, 2010 at 22:41 | comment | added | Cristos A. Ruiz | n-1 planes and yes, connected and simply connected | |
| Jun 21, 2010 at 20:12 | answer | added | Tom Goodwillie | timeline score: 8 | |
| Jun 21, 2010 at 16:48 | answer | added | Benoît Kloeckner | timeline score: 1 | |
| Jun 21, 2010 at 16:47 | answer | added | Diego Matessi | timeline score: 10 | |
| Jun 21, 2010 at 16:40 | comment | added | supercooldave | For dimensions $n$ greater than 3, are you assuming that you intersect planes with $X$ or that you intersect $n-1$-planes with $X$? | |
| Jun 21, 2010 at 16:40 | comment | added | Benoît Kloeckner | By simply connected, you implicitely mean connected and simply connected, right? | |
| Jun 21, 2010 at 16:29 | history | edited | Cristos A. Ruiz | CC BY-SA 2.5 |
added 227 characters in body; edited title
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| Jun 21, 2010 at 16:23 | history | asked | Cristos A. Ruiz | CC BY-SA 2.5 |