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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.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    S. S. Baĭzhanov

  2. International Information Technology University, Almaty, Kazakhstan

    B. Sh. Kulpeshov

Authors
  1. S. S. Baĭzhanov
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  2. B. Sh. Kulpeshov
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Correspondence to S. S. Baĭzhanov.

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Original Russian Text Copyright © 2018 Baĭzhanov S.S. and Kulpeshov B.Sh.

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Baĭzhanov, S.S., Kulpeshov, B.S. Preservation of ω-Categoricity In Expanding The Models of Weakly o-Minimal Theories. Sib Math J 59, 207–216 (2018). https://doi.org/10.1134/S0037446618020039

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  • DOI: https://doi.org/10.1134/S0037446618020039

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