Potential isomorphism of elementary substructures of a strictly stable homogeneous model

DOI10.2178/jsl/1309952530zbMath1241.03038OpenAlexW2129232415MaRDI QIDQ3173537

Tapani Hyttinen, Agatha C. Walczak-Typke, Sy-David Friedman

Publication date: 10 October 2011

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://ddd.uab.cat/record/76271

Mathematics Subject Classification ID

Inner models, including constructibility, ordinal definability, and core models (03E45) Classification theory, stability, and related concepts in model theory (03C45) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Cites Work

• Existence of many \(L_{\infty,\lambda}\)-equivalent, non-isomorphic models of T of power \(\lambda\)
• Constructing strongly equivalent nonisomorphic models for unstable theories
• Shelah's stability spectrum and homogeneity spectrum in finite diagrams
• On potential isomorphism and non-structure
• Strong splitting in stable homogeneous models
• Main gap for locally saturated elementary submodels of a homogeneous structure
• On the number of nonisomorphic models of an infinitary theory which has the infinitary order property. Part A
• On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure
• On Nonstructure of Elementary Submodels of an Unsuperstable Homogeneous Structure
• Cardinal-preserving extensions
• Finite diagrams stable in power

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