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Constant expansion of theories and the number of countable models

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Publication:6587441
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DOI10.33048/semi.2023.20.064MaRDI QIDQ6587441

Olzhas Asylbekovich Umbetbayev, Bektur Sembyuly Baizhanov

Publication date: 14 August 2024

Published in: Unnamed Author (Search for Journal in Brave)




zbMATH Keywords

ordered structuresnumber of countable modelssmall theoryexpansion by constantsnon-orthogonality of types


Mathematics Subject Classification ID

Model theory of ordered structures; o-minimality (03C64) Model theory of denumerable and separable structures (03C15)


Cites Work

  • Unnamed Item
  • O-stable theories
  • Conditions for non-symmetric relations of semi-isolation
  • Theories with three countable models
  • Classification theory and the number of non-isomorphic models.
  • Piecewise monotonicity for unary functions in \(o\)-stable groups
  • Nonessential extensions of complete theories
  • A.D. Taimanov and model theory in Kazakhstan
  • Theories with a finite number of countable models
  • Model Theory
  • Complete Theories with Finitely Many Countable Models. I







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