Quasiminimal structures, groups and Zariski-like geometries

2015/02/03 by Hyttinen, Tapani, Kangas, Kaisa
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1502.01039

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.

Related

• Finding groups in Zariski-like structures
• Finding a field in a Zariski-like structure
• On model theory of covers of algebraically closed fields
• Analytic Zariski structures and non-elementary categoricity
• Constructing Quasiminimal Structures