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Preprint Number 986

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986. Boris Zilber
Analytic Zariski structures and non-elementary categoricity
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Submission date: 12 January 2016.

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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1601.02961: pdf, ps.


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