Non-essential expansions of quite o-minimal theories

DOI10.1134/S1995080224600687MaRDI QIDQ6586773

S. V. Sudoplatov, Beibut Kulpeshov

Publication date: 13 August 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

weak o-minimalityEhrenfeucht theoryquite o-minimalityconvexity eanknon-essential expansion of theory

Mathematics Subject Classification ID

Model theory (03Cxx) Topological fields (12Jxx) Connections between field theory and logic (12Lxx)

Cites Work

• Vaught's conjecture for quite o-minimal theories
• Criterion for binarity of \(\aleph_{0}\)-categorical weakly o-minimal theories
• Theories with three countable models
• On distributions of countable models of disjoint unions of Ehrenfeucht theories
• Countably categorical quite o-minimal theories
• Algebras of distributions of binary isolating formulas for quite o-minimal theories
• A criterion for binarity of almost \(\omega \)-categorical weakly \(o \)-minimal theories
• Nonessential extensions of complete theories
• Expansion of a model of a weakly o-minimal theory by a family of unary predicates
• Vaught's conjecture for o-minimal theories
• Theories with a finite number of countable models
• Weakly o-minimal structures and some of their properties
• Weakly o-minimal structures and real closed fields
• Remarks on countable models
• Ranks, spectra and their dynamics for families of constant expansions of theories

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