Analytic Zariski structures and non-elementary categoricity

doi:10.1201/9781315368078-10

beta

Join waitlist

Finding

We show how to associate an abstract elementary class with a one-dimensional analytic Zariski structure and prove that the class is stable, quasi-minimal and homogeneous over models.

Paper

Analytic Zariski structures and non-elementary categoricity

Citations: 1

2016

Full text

Abstract

We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementary class with a one-dimensional analytic Zariski structure and prove that the class is stable, quasi-minimal and homogeneous over models. We also demonstrate how Hrushovski's predimension arises in this general context as a natural geometric notion and use it as one of our main tools.

Authors

B. Zilber

Journal

arXiv: Logic

copied to clipboard