From well-quasi-ordered sets to better-quasi-ordered sets
| dc.creator | Pouzet, Maurice | |
| dc.creator | Sauer, Norbert | |
| dc.date | 2006-01-06 | |
| dc.date.accessioned | 2026-07-07T06:58:35Z | |
| dc.date.available | 2026-07-07T06:58:35Z | |
| dc.description | We consider conditions which force a well-quasi-ordered poset (wqo) to be better-quasi-ordered (bqo). In particular we obtain that if a poset $P$ is wqo and the set $S_ω(P)$ of strictly increasing sequences of elements of $P$ is bqo under domination, then $P$ is bqo. As a consequence, we get the same conclusion if $S_ω (P)$ is replaced by $\mathcal J^1(P)$, the collection of non-principal ideals of $P$, or by $AM(P)$, the collection of maximal antichains of $P$ ordered by domination. It then follows that an interval order which is wqo is in fact bqo. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601119 | |
| dc.identifier | http://arxiv.org/abs/math/0601119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107413 | |
| dc.subject | Combinatorics | |
| dc.subject | Logic | |
| dc.subject | 06A06; 03E04 | |
| dc.title | From well-quasi-ordered sets to better-quasi-ordered sets | |
| dc.type | text |