Building prime models in fully good abstract elementary classes

DOI10.1002/malq.201600025zbMath1469.03100arXiv1509.07024OpenAlexW2309225853MaRDI QIDQ5108100

Sebastien Vasey

Publication date: 29 April 2020

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

Full work available at URL: https://arxiv.org/abs/1509.07024

Mathematics Subject Classification ID

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

Cites Work

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• Canonical forking in AECs
• Infinitary stability theory
• Building independence relations in abstract elementary classes
• Chains of saturated models in AECs
• Symmetry in abstract elementary classes with amalgamation
• Downward categoricity from a successor inside a good frame
• Tameness, uniqueness triples and amalgamation
• Categoricity of theories in \(L_{\kappa \omega}\), with \(\kappa\) a compact cardinal
• Shelah's eventual categoricity conjecture in universal classes. I.
• Independence in finitary abstract elementary classes
• FORKING AND SUPERSTABILITY IN TAME AECS
• Uniqueness of limit models in classes with amalgamation
• Categoricity transfer in simple finitary abstract elementary classes
• Shelah's eventual categoricity conjecture in tame abstract elementary classes with primes
• Tameness and extending frames
• TAMENESS FROM LARGE CARDINAL AXIOMS
• GALOIS-STABILITY FOR TAME ABSTRACT ELEMENTARY CLASSES
• Categoricity in Power
• Finite diagrams stable in power
• Symmetry and the union of saturated models in superstable abstract elementary classes

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