Invariants for \(\omega\)-categorical, \(\omega\)-stable theories

DOI10.1007/BF02776081zbMath0588.03017OpenAlexW2326175860MaRDI QIDQ1073013

Steven Buechler

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02776081

zbMATH Keywords

classificationnumber of nonisomorphic modelsomega-categoricityomega-stabilityspectrum functions

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Categoricity and completeness of theories (03C35)

Related Items (2)

Locally modular theories of finite rank ⋮ Coordinatization in Superstable Theories. II

Cites Work

• Unnamed Item
• The number of uncountable models of \(\omega\)-stable theories
• \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures
• A survey of basic stability theory, with particular emphasis on orthogonality and regular types
• An exposition of Shelah's 'main gap': counting uncountable models of \(\omega\)-stable and superstable theories
• Ranks and definability in superstable theories
• Theories with a finite number of models in an uncountable power are categorical
• Classification theory and the number of non-isomorphic models
• Countable models of nonmultidimensional ℵ₀-stable theories
• Classification of first order theories which have a structure theorem
• Singular properties of Morley rank

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