Classification theory through stationary logic

DOI10.1016/S0168-0072(99)00019-6zbMath0948.03033OpenAlexW2050559226MaRDI QIDQ1964144

Fred Appenzeller

Publication date: 19 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0168-0072(99)00019-6

zbMATH Keywords

stable theoryclassification theorystationary logic

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55)

Cites Work

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• The number of uncountable models of \(\omega\)-stable theories
• 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
• Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition
• Classification theory and the number of non-isomorphic models.
• Classification theory and the number of non-isomorphic models
• Classification of first order theories which have a structure theorem
• Classification Theory and Stationary Logic
• Stationary logic of finitely determinate structures
• Generalized Quantifiers and Compact Logic
• Countable approximations and Löwenheim-Skolem theorems
• Stationary logic
• Some combinatorial problems concerning uncountable cardinals

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