Universal abstract elementary classes and locally multipresentable categories

DOI10.1090/proc/14326zbMath1439.03072arXiv1707.09005OpenAlexW2740011006WikidataQ129429004 ScholiaQ129429004MaRDI QIDQ4644724

Jiří Rosický, Sebastien Vasey, Michael J. Lieberman

Publication date: 8 January 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09005

zbMATH Keywords

intersectionsabstract elementary classesuniversal classesaccessible categorieslocally multipresentable categorieslocally polypresentable categories

Mathematics Subject Classification ID

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 (7)

General facts on the Scott adjunction ⋮ Sizes and filtrations in accessible categories ⋮ Structural logic and abstract elementary classes with intersections ⋮ Forking independence from the categorical point of view ⋮ Internal sizes in \(\mu\)-abstract elementary classes ⋮ Categoricity in multiuniversal classes ⋮ Hilbert spaces and \(C^\ast\)-algebras are not finitely concrete

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