Stable theories, pseudoplanes and the number of countable models

DOI10.1016/0168-0072(80)90002-0zbMath0676.03024OpenAlexW2087142063MaRDI QIDQ1122570

Anand Pillay

Publication date: 1989

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(80)90002-0

zbMATH Keywords

stable theorycountable models1-based theorytype-definable pseudoplane

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of denumerable and separable structures (03C15)

Related Items

Superstable groups of finite rank without pseudoplanes, On one-based theories, Weight ω in stable theories with few types, Types directed by constants, Minimal first-order structures, Definable Sets in Generic Structures and their Cardinalities, Countable models of 1-based theories, A new strongly minimal set, Stable theories without dense forking chains, Hypergraphs of prime models and distributions of countable models of small theories, On constants and the strict order property, The primitive normality of a class of weakly injective \(S\)-acts, Directed free pseudospaces, Transitive arrangements of algebraic systems

Cites Work

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• Classification theory and the number of non-isomorphic models
• A note on tight stable theorie
• Countable Models of Stable Theories
• Closed sets and chain conditions in stable theories
• Two conjectures regarding the stability of ω-categorical theories