Chains of saturated models in AECs

DOI10.1007/S00153-017-0532-0zbMath1392.03046arXiv1503.08781OpenAlexW2269204096MaRDI QIDQ527325

Will Boney, Sebastien Vasey

Publication date: 11 May 2017

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

Full work available at URL: https://arxiv.org/abs/1503.08781

zbMATH Keywords

stabilityforkingaveragestamenesssaturated modelssuperstabilityabstract elementary classeslimit modelsclassification theoryindependence calculusstability theory inside a model

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Related Items (19)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ \(\mu\)-abstract elementary classes and other generalizations ⋮ Canonical forking in AECs ⋮ Infinitary stability theory ⋮ Building independence relations in abstract elementary classes ⋮ Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Toward a stability theory of tame abstract elementary classes ⋮ Good frames in the Hart-Shelah example ⋮ 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 ⋮ Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ Tameness in generalized metric structures ⋮ Shelah's eventual categoricity conjecture in universal classes. II ⋮ Symmetry in abstract elementary classes with amalgamation ⋮ Forking in short and tame abstract elementary classes ⋮ Downward categoricity from a successor inside a good frame ⋮ The categoricity spectrum of large abstract elementary classes

Cites Work

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• A neural theory of punishment and avoidance. I: Qualitative theory
• FORKING AND SUPERSTABILITY IN TAME AECS
• Uniqueness of limit models in classes with amalgamation
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• Tameness and extending frames
• TAMENESS FROM LARGE CARDINAL AXIOMS
• GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES
• Rich models

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