Almost \(\omega \)-categorical weakly o-minimal theories of convexity rank 1

DOI10.1134/S0037446621010067zbMath1477.03154OpenAlexW3126700923MaRDI QIDQ2221962

B. Sh. Kulpeshov, T. S. Mustafin

Publication date: 3 February 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621010067

zbMATH Keywords

binary theoryweak o-minimalityconvexity rankalmost \(\omega \)-categoricity

Mathematics Subject Classification ID

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

Related Items (3)

On almost omega-categoricity of weakly o-minimal theories ⋮ A criterion for binarity of almost \(\omega \)-categorical weakly \(o \)-minimal theories ⋮ Algebras of distributions of binary isolating formulas for almost \(\omega \)-categorical weakly \(o\)-minimal theories

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
• Binarity of almost \(\omega \)-categorical quite o-minimal theories
• Linearly ordered theories which are nearly countably categorical
• Expansion of a model of a weakly o-minimal theory by a family of unary predicates
• Weakly o-minimal structures and some of their properties
• On Theories Having Three Countable Models
• Weakly o-minimal structures and real closed fields
• Unnamed Item

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