A criterion for binarity of almost \(\omega \)-categorical weakly \(o \)-minimal theories

DOI10.1134/S0037446621060082OpenAlexW3217633229MaRDI QIDQ2054229

B. Sh. Kulpeshov

Publication date: 1 December 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621060082

zbMATH Keywords

binary theoryconvexity rankalmost \(\omega \)-categoricityweak \(o \)-minimality

Mathematics Subject Classification ID

Model theory (03Cxx) Topological fields (12Jxx) Ordered structures (06Fxx)

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
• Theories with three countable models
• On distributions of countable models of disjoint unions of Ehrenfeucht theories
• Vaught's conjecture for weakly o-minimal theories of convexity rank 1
• Binarity of almost \(\omega \)-categorical quite o-minimal theories
• Almost \(\omega \)-categorical weakly o-minimal theories of convexity rank 1
• Linearly ordered theories which are nearly countably categorical
• On almost omega-categoricity of weakly o-minimal theories
• 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
• Vaught’s conjecture for weakly -minimal theories of finite convexity rank

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