Abstract decomposition theorem and applications
| dc.creator | Grossberg, Rami | |
| dc.creator | Lessmann, Olivier | |
| dc.date | 2005-09-29 | |
| dc.date.accessioned | 2026-07-07T06:19:55Z | |
| dc.date.available | 2026-07-07T06:19:55Z | |
| dc.description | Let K be an Abstract Elementary Class. Under the asusmptions that K has a nicely behaved forking-like notion, regular types and existence of some prime models we establish a decomposition theorem for such classes. The decomposition implies a main gap result for the class K. The setting is general enough to cover \aleph_0-stable first-order theories (proved by Shelah in 1982), Excellent Classes of atomic models of a first order tehory (proved Grossberg and Hart 1987) and the class of submodels of a large sequentially homogenuus \aleph_0-stable model (which is new). | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509707 | |
| dc.identifier | http://arxiv.org/abs/math/0509707 | |
| dc.identifier | Contemporary Mathematics, Vol 380, (2005), pp. 73--108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95189 | |
| dc.subject | Logic | |
| dc.subject | 03C45;03C52;03C05;03C95 | |
| dc.title | Abstract decomposition theorem and applications | |
| dc.type | text |