Almost ω-Categorical Weakly o-Minimal Theories of Convexity Rank 1


Kulpeshov B.S. Mustafin T.S.
January 2021Pleiades journals

Siberian Mathematical Journal
2021#62Issue 152 - 65 pp.

Studying the properties of almost ω-categorical weakly o-minimal theories of convexity rank 1,we prove the orthogonality of every family of pairwise weakly orthogonal nonalgebraic 1-typesin the theories.Also, we establish the binarity of the theories.

510.67 , almost $ omega $-categoricity , binary theory , convexity rank , weak $ o $-minimality

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Kazakh–British Technical University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, Russian Federation

Kazakh–British Technical University
Institute of Mathematics and Mathematical Modeling
Novosibirsk State Technical University

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