Ranks and Approximations for Families of Ordered Theories
Kulpeshov B.S. Pavlyuk I.I. Sudoplatov S.V.
October 2024Pleiades Publishing
Mathematical Notes
2024#116Issue 3669 - 684 pp.
Abstract: Rank values for various families of ordered theories are described as depending on the languages under consideration; a description of -total transcendence in terms of these languages is also given. Approximations of ordered theories are studied, including approximations by finite and countably categorical orders. Closures are studied and ranks are described for families of ordered theories, including the families of o-minimal and weakly o-minimal theories of various signatures, as well as theories of pure linear orders with various constraints on the discrete parts.
approximation , family of theories , ordered theory , rank
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Kazakh–British Technical University, Almaty, 050000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Novosibirsk State Technical University, Novosibirsk, 630073, Russian Federation
Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
Kazakh–British Technical University
Institute of Mathematics and Mathematical Modeling
Novosibirsk State Technical University
Sobolev Institute of Mathematics
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