CLASSIFICATION THEORY FOR ACCESSIBLE CATEGORIES

DOI10.1017/jsl.2014.85zbMath1403.03058arXiv1404.2528OpenAlexW2962934860WikidataQ115942305 ScholiaQ115942305MaRDI QIDQ2805028

Jiří Rosický, Michael J. Lieberman

Publication date: 9 May 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2528

zbMATH Keywords

tamenessabstract elementary classcategorical logicaccessible categoryGalois types

Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Accessible and locally presentable categories (18C35) Abstract elementary classes and related topics (03C48) Abstract model theory (03C95)

Related Items (17)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ \(\mu\)-abstract elementary classes and other generalizations ⋮ Minimal accessible categories ⋮ Accessible images revisited ⋮ Large cardinal axioms from tameness in AECs ⋮ METRIC ABSTRACT ELEMENTARY CLASSES AS ACCESSIBLE CATEGORIES ⋮ Sizes and filtrations in accessible categories ⋮ Tameness in generalized metric structures ⋮ A category-theoretic characterization of almost measurable cardinals ⋮ Towards higher topology ⋮ Universal abstract elementary classes and locally multipresentable categories ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Tameness, powerful images, and large cardinals ⋮ The categoricity spectrum of large abstract elementary classes ⋮ THE KIM–PILLAY THEOREM FOR ABSTRACT ELEMENTARY CATEGORIES ⋮ Hilbert spaces and \(C^\ast\)-algebras are not finitely concrete ⋮ CLASSIFYING SPACES AND THE LASCAR GROUP

Cites Work

• Category-theoretic aspects of abstract elementary classes
• Abstract elementary classes and accessible categories
• On combinatorial model categories
• Abstract elementary classes and infinitary logics
• Concrete categories and infinitary languages
• Independence in finitary abstract elementary classes
• Accessible Categories: The Foundations of Categorical Model Theory
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