P∗-Combinations of Almost ω-Categorical Weakly o-Minimal Theories

Kulpeshov B.S. Sudoplatov S.V.
April 2021 Pleiades journals

Lobachevskii Journal of Mathematics
2021 #42 Issue 4 743 - 750 pp.

Abstract: We study P*-Combinations of Almost ω-Categorical Weakly o-Minimal Theories. One of natural questions in the study of such a combination is the question of preserving or weakening certain properties of initial theories. Earlier, criteria for Ehrenfeuchtness of P*-combinations of countably many ω-categorical ordered theories were obtained. Here we prove that if a P*-combination of countably many models of almost ω-categorical weakly o-minimal theories preserves weak o-minimality then it also preserves almost ω-categoricity.

almost ω-categoricity , combination of structures , weak o-minimality

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Kazakh-British Technical University, Almaty, 050000, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russian Federation
Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Kazakh-British Technical University
Novosibirsk State Technical University
Sobolev Institute of Mathematics SB RAS
Novosibirsk State University

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