Submission date: 3 February 2015

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.

Mathematics Subject Classification:

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Full text arXiv 1502.01039: pdf, ps.