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Article · Doklady Mathematics · December 1, 2024

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

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.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasMathematical and Theoretical Analysiscountable spectrumcountable modelsnon-isomorphic models

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