Saturation and solvability in abstract elementary classes with amalgamation

DOI10.1007/s00153-017-0561-8zbMath1387.03031arXiv1604.07743OpenAlexW2342412345MaRDI QIDQ2402965

Sebastien Vasey

Publication date: 15 September 2017

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

Full work available at URL: https://arxiv.org/abs/1604.07743

zbMATH Keywords

solvabilitysaturationcategoricityindiscerniblessuperstabilityabstract elementary classes

Mathematics Subject Classification ID

Large cardinals (03E55) Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Other infinitary logic (03C75) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Related Items

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Good frames in the Hart-Shelah example ⋮ ON CATEGORICITY IN SUCCESSIVE CARDINALS ⋮ On the uniqueness property of forking in abstract elementary classes ⋮ STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ Axiomatizing AECs and applications ⋮ The small index property for homogeneous models in AEC's ⋮ Downward categoricity from a successor inside a good frame ⋮ Tameness from two successive good frames ⋮ The categoricity spectrum of large abstract elementary classes

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