3 citations · 4 across the 4 of their papers we have counts for
Showing 2015 · math.LOShow all
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math.LO2015
On model theory of covers of algebraically closed fields
Tapani Hyttinen, Kaisa Kangas
We study covers of the multiplicative group of an algebraically closed field as quasiminimal pregeometry structures and prove that they satisfy the axioms for Zariski-like structur…
math.LO2015
Finding a field in a Zariski-like structure
Kaisa Kangas
We show that if $\M$ is a Zariski-like structure (see \cite{lisuriart}) that does not interpret a non-classical group, and the canonical pregeometry obtained from the bounded closu…
math.LO2015
Quasiminimal structures, groups and Zariski-like geometries
Tapani Hyttinen, Kaisa Kangas
We generalize Hrushovski's Group Configuration Theorem to quasiminimal classes. As an application, we present Zariski-like structures, a generalization of Zariski geometries, and s…