Toward a stability theory of tame abstract elementary classes

DOI10.1142/S0219061318500095MaRDI QIDQ4562438

Sebastien Vasey

Publication date: 20 December 2018

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

Full work available at URL: https://arxiv.org/abs/1609.03252

zbMATH Keywords

stability spectrumtamenessabstract elementary classeslimit modelssaturation spectrum

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

ON CATEGORICITY IN SUCCESSIVE CARDINALS ⋮ On universal modules with pure embeddings ⋮ STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING ⋮ EQUIVALENT DEFINITIONS OF SUPERSTABILITY IN TAME ABSTRACT ELEMENTARY CLASSES ⋮ A note on torsion modules with pure embeddings ⋮ Superstability, Noetherian rings and pure-semisimple rings ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Simple-like independence relations in abstract elementary classes ⋮ On superstability in the class of flat modules and perfect rings ⋮ Algebraic description of limit models in classes of abelian groups ⋮ SOME STABLE NON-ELEMENTARY CLASSES OF MODULES

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