Quasiminimal structures, groups and Zariski-like geometries
Logic
2017-02-09 v3
Abstract
We generalize Hrushovski's Group Configuration Theorem to quasiminimal classes. As an application, we present Zariski-like structures, a generalization of Zariski geometries, and show that a group can be found there if the pregeometry obtained from the bounded closure operator is non-trivial.
Cite
@article{arxiv.1502.01039,
title = {Quasiminimal structures, groups and Zariski-like geometries},
author = {Tapani Hyttinen and Kaisa Kangas},
journal= {arXiv preprint arXiv:1502.01039},
year = {2017}
}