Preservation of ω-Categoricity In Expanding The Models of Weakly o-Minimal Theories


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Abstract

Studying the model-theoretic properties that are preserved under expansion of the models of countably categorical weakly o-minimal theories of finite convexity rank with convex unary predicates, we show that countable categoricity and convexity rank are among these properties.

About the authors

S. S. Baĭzhanov

Institute of Mathematics and Mathematical Modeling

Author for correspondence.
Email: sayan-5225@mail.ru
Kazakhstan, Almaty

B. Sh. Kulpeshov

International Information Technology University

Email: sayan-5225@mail.ru
Kazakhstan, Almaty

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