Timeline for CAT(K) and Busemann [closed]
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 27, 2013 at 17:57 | history | closed |
Benoît Kloeckner Misha user6976 Willie Wong Neil Strickland |
Needs details or clarity | |
| S Jun 25, 2013 at 3:02 | review | First posts | |||
| Jun 25, 2013 at 13:59 | |||||
| S Jun 25, 2013 at 3:02 | review | Close votes | |||
| Jun 27, 2013 at 17:57 | |||||
| Jun 21, 2013 at 2:42 | vote | accept | Chris | ||
| Jun 20, 2013 at 23:25 | answer | added | Sergei Ivanov | timeline score: 9 | |
| Jun 20, 2013 at 22:11 | comment | added | Lee Mosher | @Chris: So there is a reasonable question here: Is it known whether a CAT(1) Busemann space must also be CAT(0)? But it sounds also as if you have extra information about this question in the form of a potential counterexample, in which case I suggest you take a look at the link "how to ask" up above, particularly under the heading "Provide background and motivation". | |
| Jun 20, 2013 at 20:19 | comment | added | Chris | Yes, I know, hence my question. A space which is not cat(0) but it's Busemann convex cat be cat(1)? | |
| Jun 20, 2013 at 20:11 | comment | added | Misha | Chris: Nobody says that CAT(1) implies CAT(0), this direction is completely false. | |
| Jun 20, 2013 at 18:57 | comment | added | Chris | Misha: if X is cat(k) it is also cat(k') if k'>k. cat(0) implies cat(1) but the other implication does not seem obvious, does it? | |
| Jun 20, 2013 at 18:50 | comment | added | Misha | Chris: If $x\le 0$ then $x\le 1$ as well. Why do you find it weird? | |
| Jun 20, 2013 at 18:32 | comment | added | Chris | Thank you, yes, maybe, I have this space which is for sure Busemann and NOT CAT(0) but it seems to be CAT(1) which feels a bit weird to me. | |
| Jun 20, 2013 at 18:30 | comment | added | Lee Mosher | Did you mean to ask a different question, then? | |
| Jun 20, 2013 at 18:27 | comment | added | Chris | My space is not CAT(0). | |
| Jun 20, 2013 at 18:18 | comment | added | Lee Mosher | Yes, every CAT(0) space is Busemann and CAT(1), so the Euclidean plane for example. | |
| Jun 20, 2013 at 17:23 | history | asked | Chris | CC BY-SA 3.0 |