One dimensional structures in o-minimal theories
Logic
2007-05-23 v1
Abstract
We prove the Zil'ber Trichotomy Principle for all 1-dimensional structures which are definable in o-minimal ones. In particular, we show that any stable 1-dimensional structure is necessarily locally modular. The main tool is a theory for intersection of curves which we develop.
Cite
@article{arxiv.math/0702748,
title = {One dimensional structures in o-minimal theories},
author = {Assaf Hasson and Alf Onshuus and Ya'acov Peterzil},
journal= {arXiv preprint arXiv:math/0702748},
year = {2007}
}