Countably categorical quite o-minimal theories

DOI10.1007/s10958-012-1136-1zbMath1280.03043OpenAlexW1974201320MaRDI QIDQ1948660

B. Sh. Kulpeshov

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1136-1

zbMATH Keywords

completenesscategoricitymodel theory of o-minimal structures

Mathematics Subject Classification ID

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

Related Items (13)

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 ⋮ Binarity of almost \(\omega \)-categorical quite o-minimal theories ⋮ Vaught’s conjecture for weakly -minimal theories of finite convexity rank ⋮ \(P\)-combinations of ordered theories ⋮ Expanding 1-indiscernible countably categorical weakly o-minimal theories by equivalence relations ⋮ Almost \(\omega \)-categorical weakly o-minimal theories of convexity rank 1 ⋮ DISTRIBUTIONS OF COUNTABLE MODELS OF QUITE O-MINIMAL EHRENFEUCHT 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.D. Taimanov and model theory in Kazakhstan

Cites Work

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

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