Criterion for binarity of \(\aleph_{0}\)-categorical weakly o-minimal theories

DOI10.1016/j.apal.2006.10.004zbMath1112.03034OpenAlexW2102698741MaRDI QIDQ866573

B. Sh. Kulpeshov

Publication date: 14 February 2007

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.2006.10.004

zbMATH Keywords

weak o-minimalityconvexity rankaleph-0-categorical

Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64) Categoricity and completeness of theories (03C35)

Related Items (18)

Binary formulas in countably categorical weakly circularly minimal structures ⋮ Vaught's conjecture for quite o-minimal theories ⋮ Countably categorical weakly o-minimal structures of finite convexity rank ⋮ Algebras of distributions for binary formulas in countably categorical weakly o-minimal structures ⋮ On almost omega-categoricity of weakly o-minimal theories ⋮ Vaught’s conjecture for weakly -minimal theories of finite convexity rank ⋮ Countably categorical quite o-minimal theories ⋮ Expanding 1-indiscernible countably categorical weakly o-minimal theories by equivalence relations ⋮ Almost \(\omega \)-categorical weakly o-minimal theories of convexity rank 1 ⋮ Binary types in ℵ₀-categorical weakly o-minimal theories ⋮ On expansions of models of weakly o-minimal theories by binary predicates ⋮ Maximality of the countable spectrum in small quite o-minimal theories ⋮ Preservation of \(\omega\)-categoricity in expanding the models of weakly \(o\)-minimal theories ⋮ Vaught's conjecture for weakly o-minimal theories of convexity rank 1 ⋮ A criterion for binarity of almost \(\omega \)-categorical weakly \(o \)-minimal theories ⋮ A.D. Taimanov and model theory in Kazakhstan ⋮ Almost binarity of countably categorical weakly circularly minimal structures ⋮ Algebras of distributions of binary isolating formulas for almost \(\omega \)-categorical weakly \(o\)-minimal theories

Cites Work

• On \(\aleph_0\)-categorical weakly o-minimal structures
• Expansion of a model of a weakly o-minimal theory by a family of unary predicates
• Definable Sets in Ordered Structures. I
• Weakly o-minimal structures and some of their properties
• Weakly o-minimal structures and real closed fields
• Unnamed Item
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