The Geometry of Linear Regular Types
| dc.creator | de Piro, Tristram | |
| dc.date | 2004-06-26 | |
| dc.date.accessioned | 2026-07-07T05:09:43Z | |
| dc.date.available | 2026-07-07T05:09:43Z | |
| dc.description | This paper is concerned with extending results from "The Geometry of 1-Based Minimal Types" by Kim and the present author. We work in the more general context of the solution set D of a regular Lascar Strong Type defined over the empty set in a simple theory T. In Pillay's book "Geometric Stability Theory", a notion of p-weight is developed for regular types in stable theories. Here we show that the corresponding notion holds in simple theories and give a geometric analysis of associated structures G(D) and G(D)(large), the former of which appears in the above paper. We show that D is linear iff G(D) and G(D)(large) (localized, respectively) are both modular with respect to the p-closure operator. Finally, we show that modularity of G(D)(large) provides a local analogue of 1-basedness for the theory T. | |
| dc.identifier | https://arxiv.org/abs/math/0406543 | |
| dc.identifier | http://arxiv.org/abs/math/0406543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71685 | |
| dc.subject | Logic | |
| dc.title | The Geometry of Linear Regular Types | |
| dc.type | text |