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arxiv: 1502.01039 · v3 · pith:WCNW6ZU3new · submitted 2015-02-03 · 🧮 math.LO

Quasiminimal structures, groups and Zariski-like geometries

classification 🧮 math.LO
keywords geometriesgroupquasiminimalstructureszariski-likeapplicationboundedclasses
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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.

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