Vaught's conjecture for weakly o-minimal theories of convexity rank 1

DOI10.1016/j.apal.2018.06.003zbMath1412.03017OpenAlexW2809050109WikidataQ122938686 ScholiaQ122938686MaRDI QIDQ1791051

B. Sh. Kulpeshov, A. Alibek, Tat'yana Sergeevna Zambarnaya, Bektur Sembiuly Baizhanov

Publication date: 4 October 2018

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.2018.06.003

zbMATH Keywords

countable modelbinary theoryVaught's conjectureweak o-minimalityconvexity rank

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 (6)

On almost omega-categoricity of weakly o-minimal theories ⋮ Countable models of complete ordered theories ⋮ Vaught’s conjecture for weakly -minimal theories of finite convexity rank ⋮ 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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• Vaught's conjecture for quite o-minimal theories
• Criterion for binarity of \(\aleph_{0}\)-categorical weakly o-minimal theories
• Countably categorical quite o-minimal theories
• 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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