Borsuk's Conjecture Fails in Dimensions 321 and 322
| dc.creator | Pikhurko, Oleg | |
| dc.date | 2002-02-12 | |
| dc.date.accessioned | 2026-07-07T04:46:25Z | |
| dc.date.available | 2026-07-07T04:46:25Z | |
| dc.description | Borsuk's conjecture states that any bounded set in R^n can be partitioned into n+1 sets of smaller diameter. It is known to be false for all n bigger or equal to 323. Here we show that Borsuk's conjecture fails in dimensions 321 and 322. (This result has been independently discovered by Hinrichs and Richter.) | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/math/0202112 | |
| dc.identifier | http://arxiv.org/abs/math/0202112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63322 | |
| dc.subject | Combinatorics | |
| dc.subject | 52Cxx | |
| dc.title | Borsuk's Conjecture Fails in Dimensions 321 and 322 | |
| dc.type | text |