Timeline for Tverberg partitions with less than (r-1)(d+1)+1 points
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 17, 2013 at 14:16 | vote | accept | Arnau | ||
| Feb 1, 2013 at 13:17 | history | edited | Gil Kalai |
edited tags
|
|
| Jan 31, 2013 at 16:56 | answer | added | Gil Kalai | timeline score: 4 | |
| Jan 31, 2013 at 12:33 | comment | added | Gil Kalai | This is an excellent problem. Not much is known but there are few conjectures and results, I will try to answer later. | |
| Feb 18, 2012 at 13:20 | comment | added | Boris Bukh | Not only there are examples of sets of $(r-1)(d+1)$ points with no Tverberg partition, but every set in sufficiently general position is such an example (by the dimension-counting). So, every condition that lowers the bound in Tverberg's theorem must necessarily be of the form "there is a particular kind of algebraic relation between the points", which does not sound all that natural geometrically. With that said, I do not know any results of this kind. | |
| Feb 17, 2012 at 13:50 | history | asked | Arnau | CC BY-SA 3.0 |