On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure

DOI10.1002/MALQ.19980440307zbMath0908.03038arXivmath/9702228OpenAlexW2091497014MaRDI QIDQ4210838

Saharon Shelah, Tapani Hyttinen

Publication date: 2 March 1999

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9702228

zbMATH Keywords

homogeneous structureelementary submodelsuperstable structurestable structure

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Categoricity and completeness of theories (03C35)

Related Items (4)

Potential isomorphism of elementary substructures of a strictly stable homogeneous model ⋮ On the reducibility of isomorphism relations ⋮ Main gap for locally saturated elementary submodels of a homogeneous structure ⋮ Stability and General Logics

Cites Work

• Strong splitting in stable homogeneous models

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