Symmetry and the union of saturated models in superstable abstract elementary classes

DOI10.1016/J.APAL.2015.12.007OpenAlexW2190532370MaRDI QIDQ5965173

Monica M. VanDieren

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1512.01786

zbMATH Keywords

splittingsaturated modelssuperstabilityabstract elementary classeslimit models

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Models with special properties (saturated, rigid, etc.) (03C50) Properties of classes of models (03C52) Abstract elementary classes and related topics (03C48)

Related Items (13)

Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Superstability and symmetry ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Saturation and solvability in abstract elementary classes with amalgamation ⋮ Building prime models in fully good abstract elementary classes ⋮ STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ Symmetry in abstract elementary classes with amalgamation ⋮ Downward categoricity from a successor inside a good frame ⋮ Symmetry and the union of saturated models in superstable abstract elementary classes ⋮ Tameness from two successive good frames ⋮ Uniqueness of limit models in classes with amalgamation ⋮ The categoricity spectrum of large abstract elementary classes

Cites Work

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• Symmetry and the union of saturated models in superstable abstract elementary classes

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