Timeline for Continuous projective geometry on the interval
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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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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| Mar 21, 2017 at 12:28 | vote | accept | Ali Taghavi | ||
| Mar 21, 2017 at 1:07 | answer | added | Tom Goodwillie | timeline score: 4 | |
| Mar 20, 2017 at 16:44 | answer | added | Włodzimierz Holsztyński | timeline score: 2 | |
| Mar 19, 2017 at 22:27 | comment | added | Włodzimierz Holsztyński | Your question is truly topological. A less stylistic version, possibly harder, would be omitting the continuity of the natural mappings (but let the "projective lines" be compact). | |
| Mar 19, 2017 at 22:17 | comment | added | Włodzimierz Holsztyński | Ali, your question was clear, it was only me who had a temporary difficulty. My feeling about the YES/NO was naive. I simply tried somehow to imagine things and shared my early vague intuition. I plan to think more about this question. You may ask about the class of all projective plane topological spaces (meaning the spaces as you have described it without assuming that they are an interval). This may give a general insight into this topic. | |
| Mar 19, 2017 at 22:07 | comment | added | Ali Taghavi | @WłodzimierzHolsztyński Dear Prof. Holsztynski My apology I did not recognized you. I have deep admiration to you. I have admiration also to the mathematical heritage of Prof. Borsuk. Thanks again for your attention to my question. | |
| Mar 19, 2017 at 16:39 | comment | added | Ali Taghavi | @WłodzimierzHolsztyński May I ask you to mention the motivation for your guess that the answer would be no? | |
| Mar 19, 2017 at 16:32 | comment | added | Ali Taghavi | @WłodzimierzHolsztyński Yes Latex is hard in MO :)). | |
| Mar 19, 2017 at 16:31 | comment | added | Ali Taghavi | @WłodzimierzHolsztyński You are well come. | |
| Mar 19, 2017 at 16:29 | comment | added | Włodzimierz Holsztyński | (To do LaTeX on MO is hard :) ). | |
| Mar 19, 2017 at 16:27 | comment | added | Ali Taghavi | @WłodzimierzHolsztyński Thank you for your comments on my question. By Hyperspace of $P$,, as you pointed out, I mean the space of all non empty compact subsets of $P$ which is a compact space with Hausdorff metric. The obvious map sends the pair $(a,b)\in P\times P\;\;\; a\neq b$, the configuration space, to the unique line $l(a,b)$. | |
| Mar 16, 2017 at 0:49 | comment | added | Włodzimierz Holsztyński | I am quite sure that the hyperspace is defined as the space of compact subsets (possibly non-empty compact subsets) with the Hausdorff metric. (?) Then my guess would be no if line $\ p(a\ b)\ $ depends continuously on $\ \{a\ b\}\ $ for $\ a\ne b$. | |
| Mar 16, 2017 at 0:27 | comment | added | Włodzimierz Holsztyński | I like this question while I still do not follow the second part, about configuration spaces and about the natural mappings. I am not even sure about the definition of the hyperspace (Different papers apply different definitions which are not equivalent). | |
| Feb 6, 2017 at 11:35 | history | edited | Ali Taghavi | CC BY-SA 3.0 |
added 13 characters in body
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| Feb 6, 2017 at 3:31 | history | edited | François G. Dorais | CC BY-SA 3.0 |
added 1 character in body; edited title
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| Feb 5, 2017 at 23:12 | history | asked | Ali Taghavi | CC BY-SA 3.0 |