Submission date: 29 August 2008

Abstract:

We give a model theoretic analysis of analytic Zariski structures and prove, for the one dimensional case, a non-elementary stability and quantifier-elimination to the level of E-formulas. Our treatment of dimension is based on a Hrushovski-style predimension, which can be defined naturally in any analytic Zariski structure.

Mathematics Subject Classification: 03C95, 03C45

Keywords and phrases: Zariski structures, predimensions, non-elementary stability, excellence.

Full text: pdf, dvi, ps.