Strong splitting in stable homogeneous models
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Publication:1977489
DOI10.1016/S0168-0072(99)00044-5zbMath0961.03028arXivmath/9911229WikidataQ126551880 ScholiaQ126551880MaRDI QIDQ1977489
Saharon Shelah, Tapani Hyttinen
Publication date: 28 May 2001
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9911229
Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52)
Related Items (23)
Simple homogeneous models ⋮ Simplicity and uncountable categoricity in excellent classes ⋮ Potential isomorphism of elementary substructures of a strictly stable homogeneous model ⋮ Induced and higher-dimensional stable independence ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Exponentially closed fields and the conjecture on intersections with tori ⋮ Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes ⋮ Categoricity and universal classes ⋮ MEASURING DEPENDENCE IN METRIC ABSTRACT ELEMENTARY CLASSES WITH PERTURBATIONS ⋮ Independence in finitary abstract elementary classes ⋮ INTERPRETING GROUPS AND FIELDS IN SOME NONELEMENTARY CLASSES ⋮ Categoricity and U-rank in excellent classes ⋮ Main gap for locally saturated elementary submodels of a homogeneous structure ⋮ Generalizing Morley's Theorem ⋮ INTERPRETING GROUPS INSIDE MODULAR STRONGLY MINIMAL HOMOGENEOUS MODELS ⋮ Notes on Quasiminimality and Excellence ⋮ Independence in Model Theory ⋮ Categoricity in homogeneous complete metric spaces ⋮ A rank for the class of elementary submodels of a superstable homogeneous model ⋮ Shelah's categoricity conjecture from a successor for tame abstract elementary classes ⋮ On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure ⋮ Ranks and pregeometries in finite diagrams ⋮ Stability and General Logics
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