A short proof that N 3 is not a circle containment order |
| |
Authors: | Hurlbert Glenn H |
| |
Institution: | (1) Department of Mathematics, SUNY, 11794 Stony Brook, NY, U.S.A. |
| |
Abstract: | A partially ordered set P is called a circle containment order provided one can assign to each x P a circle C
x
so that
. We show that the infinite three-dimensional poset N
3 is not a circle containment order and note that it is still unknown whether or not n]3 is such an order for arbitrarily large n. |
| |
Keywords: | 06A10 |
本文献已被 SpringerLink 等数据库收录! |
|