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Article · Siberian Mathematical Journal · January 1, 2021

Almost $ \omega $-Categorical Weakly $ o $-Minimal Theories of Convexity Rank 1

B. Sh. Kulpeshov, T. S. Mustafin

Beibut Kulpeshov
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Abstract

Studying the properties of almost $ \omega $ -categorical weakly $ o $ -minimal theories of convexity rank 1, we prove the orthogonality of every family of pairwise weakly orthogonal nonalgebraic 1-types in the theories. Also, we establish the binarity of the theories.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasAlgebraic Geometry and Number Theorymodel theory of ordered structures

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