Non-forking frames in abstract elementary classes

DOI10.1016/j.apal.2012.09.007zbMath1315.03050arXiv0901.0852OpenAlexW2097921472MaRDI QIDQ1935861

Adi Jarden, Saharon Shelah

Publication date: 19 February 2013

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

Full work available at URL: https://arxiv.org/abs/0901.0852

zbMATH Keywords

universalitycategoricitysuperstabilitysaturated modelGalois typesAEComega-stabilityalmost lambda-stability hypothesisnon-forking

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Properties of classes of models (03C52) Categoricity and completeness of theories (03C35) Abstract elementary classes and related topics (03C48)

Related Items (24)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Canonical forking in AECs ⋮ ALMOST GALOIS ω-STABLE CLASSES ⋮ Building independence relations in abstract elementary classes ⋮ Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Good frames in the Hart-Shelah example ⋮ Beyond abstract elementary classes: on the model theory of geometric lattices ⋮ Tameness, uniqueness triples and amalgamation ⋮ TAMENESS AND FRAMES REVISITED ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ Iterated elementary embeddings and the model theory of infinitary logic ⋮ Forking independence from the categorical point of view ⋮ UNIVERSAL CLASSES NEAR ${\aleph _1}$ ⋮ Symmetry in abstract elementary classes with amalgamation ⋮ Forking in short and tame abstract elementary classes ⋮ Tameness and extending frames ⋮ Downward categoricity from a successor inside a good frame ⋮ Non-forking w-good frames ⋮ FORKING AND SUPERSTABILITY IN TAME AECS ⋮ Coxeter groups and abstract elementary classes: the right-angled case ⋮ Independence in Model Theory ⋮ Tameness from two successive good frames ⋮ Limit models in metric abstract elementary classes: the categorical case ⋮ The categoricity spectrum of large abstract elementary classes

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