\(\mu\)-abstract elementary classes and other generalizations

DOI10.1016/j.jpaa.2016.02.002zbMath1402.03046arXiv1509.07377OpenAlexW1951984626MaRDI QIDQ272987

Will Boney, Rami Grossberg, Sebastien Vasey, Jiří Rosický, Michael J. Lieberman

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1509.07377

Mathematics Subject Classification ID

Large cardinals (03E55) Classification theory, stability, and related concepts in model theory (03C45) Accessible and locally presentable categories (18C35) Properties of classes of models (03C52) Other infinitary logic (03C75) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)

Related Items (12)

Infinitary stability theory ⋮ STABILITY RESULTS ASSUMING TAMENESS, MONSTER MODEL, AND CONTINUITY OF NONSPLITTING ⋮ METRIC ABSTRACT ELEMENTARY CLASSES AS ACCESSIBLE CATEGORIES ⋮ Axiomatizing AECs and applications ⋮ Sizes and filtrations in accessible categories ⋮ Forking independence from the categorical point of view ⋮ A category-theoretic characterization of almost measurable cardinals ⋮ Universal abstract elementary classes and locally multipresentable categories ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Simple-like independence relations in abstract elementary classes ⋮ Tameness, powerful images, and large cardinals ⋮ On the uniqueness of cellular injectives

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