Vaught's conjecture for quite o-minimal theories

DOI10.1016/j.apal.2016.09.002zbMath1454.03046OpenAlexW2519010381WikidataQ123190122 ScholiaQ123190122MaRDI QIDQ331052

B. Sh. Kulpeshov, Sergeĭ Vladimirovich Sudoplatov

Publication date: 26 October 2016

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2016.09.002

zbMATH Keywords

countable modelbinary theoryquite o-minimal theoryVaught's conjectureweak o-minimality

Mathematics Subject Classification ID

Models with special properties (saturated, rigid, etc.) (03C50) Model theory of ordered structures; o-minimality (03C64) Basic properties of first-order languages and structures (03C07) Model theory of denumerable and separable structures (03C15)

Related Items (17)

Finding \(2^{\aleph_0}\) countable models for ordered theories ⋮ On almost omega-categoricity of weakly o-minimal theories ⋮ Ranks, spectra and their dynamics for families of constant expansions of theories ⋮ Binarity of almost \(\omega \)-categorical quite o-minimal theories ⋮ Countable models of complete ordered theories ⋮ Vaught’s conjecture for weakly -minimal theories of finite convexity rank ⋮ ON RELATIVE SEPARABILITY IN HYPERGRAPHS OF MODELS OF THEORIES ⋮ \(P\)-combinations of ordered theories ⋮ Almost \(\omega \)-categorical weakly o-minimal theories of convexity rank 1 ⋮ DISTRIBUTIONS OF COUNTABLE MODELS OF QUITE O-MINIMAL EHRENFEUCHT THEORIES ⋮ Algebras of distributions of binary isolating formulas for quite o-minimal theories ⋮ Maximality of the countable spectrum in small quite o-minimal theories ⋮ Vaught's conjecture for weakly o-minimal theories of convexity rank 1 ⋮ On freedom and independence in hypergraphs of models of theories ⋮ Stationarily ordered types and the number of countable models ⋮ A criterion for binarity of almost \(\omega \)-categorical weakly \(o \)-minimal theories ⋮ A.D. Taimanov and model theory in Kazakhstan

Cites Work

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• Hypergraphs of prime models and distributions of countable models of small theories
• Criterion for binarity of \(\aleph_{0}\)-categorical weakly o-minimal theories
• Countably categorical quite o-minimal theories
• On \(\aleph_0\)-categorical weakly o-minimal structures
• Expansion of a model of a weakly o-minimal theory by a family of unary predicates
• Binary types in ℵ₀-categorical weakly o-minimal theories
• Vaught's conjecture for o-minimal theories
• Weakly o-minimal structures and some of their properties
• Weakly o-minimal structures and real closed fields

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