More on SOP_1 and SOP_2
| dc.creator | Shelah, Saharon | |
| dc.creator | Usvyatsov, Alex | |
| dc.date | 2004-04-08 | |
| dc.date.accessioned | 2026-07-07T05:07:17Z | |
| dc.date.available | 2026-07-07T05:07:17Z | |
| dc.description | This paper continues math.LO/0009087. We present a rank function for NSOP_1 theories and give an example of a theory which is NSOP_1 but not simple. We also investigate the connection between maximality in the ordering <^* among complete first order theories and the (N)SOP_2 property. We complete the proof started in math.LO/0009087 of the fact that <^*-maximality implies SOP_2 and get weaker results in the other direction. The paper provides a step toward the classification of unstable theories without the strict order property. | |
| dc.identifier | https://arxiv.org/abs/math/0404178 | |
| dc.identifier | http://arxiv.org/abs/math/0404178 | |
| dc.identifier | Ann. Pure Appl. Logic 155 No. 1 (2008) 16--31 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70802 | |
| dc.subject | Logic | |
| dc.title | More on SOP_1 and SOP_2 | |
| dc.type | text |