Non-Essential Expansions of Quite o-Minimal Theories
Kulpeshov B.S. Sudoplatov S.V.
March 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 31175 - 1183 pp.
Abstract: We study constant expansions of quite o-minimal theories. We prove that any non-essential expansion (expansion by finitely many new constants) of a quite o-minimal Ehrenfeucht theory of finite convexity rank preserves Ehrenfeuchtness. We also establish that the countable spectrum of such an expanded theory is not decreased.
convexity rank , Ehrenfeucht theory , non-essential expansion of a theory , quite o-minimality , weak o-minimality
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Kazakh–British Technical University, Almaty, 050000, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
Kazakh–British Technical University
Novosibirsk State Technical University
Institute of Mathematics and Mathematical Modeling
Sobolev Institute of Mathematics
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