The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank

Here we present a formula counting the countable spectrum of an arbitrary weakly o-minimal theory of finite convexity rank having less than $${{2}^{\omega }}$$ pairwise non-isomorphic countable models.

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Publication Details

Journal
Doklady Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1134/s1064562424702326
Primary Topic
Advanced Topology and Set Theory
Type
article
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article

The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank

B. Sh. Kulpeshov
Doklady Mathematics
Advanced Topology and Set Theory
article

The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank

B. Sh. Kulpeshov
article en

Abstract

Here we present a formula counting the countable spectrum of an arbitrary weakly o-minimal theory of finite convexity rank having less than $${{2}^{\omega }}$$ pairwise non-isomorphic countable models.

Doklady MathematicsVol. 110(3)
Kazakh-British Technical University (KZ), Institute of Mathematics and Mathematical Modeling (KZ)
Reduced inequalities
Openalex Percentile: Top 61%
Advanced Topology and Set Theory
DOISourceOpenAlex
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The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank — B. Sh. Kulpeshov · Doklady Mathematics (2024) | TGRS Research Map | TGRS