Minimal types in super-dependent theories
| dc.creator | Hasson, Assaf | |
| dc.creator | Onshuus, Alf | |
| dc.date | 2007-11-01 | |
| dc.date.accessioned | 2026-07-07T08:39:53Z | |
| dc.date.available | 2026-07-07T08:39:53Z | |
| dc.description | We give necessary and sufficient geometric conditions for a theory definable in an o-minimal structure to interpret a real closed field. The proof goes through an analysis of thorn-minimal types in super-rosy dependent theories of finite rank. We prove that such theories are coordinatised by thorn-minimal types and that such a type is unstable if an only if every non-algebraic extension thereof is. We conclude that a type is stable if and only if it admits a coordinatisation in thorn-minimal stable types. We also show that non-trivial thorn-minimal stable types extend stable sets. | |
| dc.identifier | https://arxiv.org/abs/0711.0122 | |
| dc.identifier | http://arxiv.org/abs/0711.0122 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141230 | |
| dc.subject | Logic | |
| dc.subject | 03C45; 03C64 | |
| dc.title | Minimal types in super-dependent theories | |
| dc.type | text |