Antichains in products of linear orders
| dc.creator | Goldstern, Martin | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1999-02-08 | |
| dc.date.accessioned | 2026-07-07T05:27:51Z | |
| dc.date.available | 2026-07-07T05:27:51Z | |
| dc.description | 1. For many regular cardinals lambda (in particular, for all successors of singular strong limit cardinals, and for all successors of singular omega-limits), for all n in {2,3,4, ...} : There is a linear order L such that L^n has no (incomparability-)antichain of cardinality lambda, while L^{n+1} has an antichain of cardinality lambda . 2. For any nondecreasing sequence (lambda2,lambda3, ...) of infinite cardinals it is consistent that there is a linear order L such that L^n has an antichain of cardinality lambda_n, but not one of cardinality lambda_n^+ . | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/9902054 | |
| dc.identifier | http://arxiv.org/abs/math/9902054 | |
| dc.identifier | Order 19 No. 3 (2002) 213--222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78077 | |
| dc.subject | Logic | |
| dc.subject | General Topology | |
| dc.subject | Primary 03E35; secondary 03E04, 06A05 | |
| dc.title | Antichains in products of linear orders | |
| dc.type | text |