Limits of abstract elementary classes

zbMATH Open1350.18009arXiv1504.04683MaRDI QIDQ3456341

Jiří Rosický, M. Lieberman

Publication date: 14 December 2015

Abstract: We show that the category of abstract elementary classes (AECs) and concrete functors is closed under constructions of "limit type," which generalizes the approach of Mariano, Zambrano and Villaveces away from the syntactically oriented framework of institutions. Moreover, we provide a broader view of this closure phenomenon, considering a variety of categories of accessible categories with additional structure, and relaxing the assumption that the morphisms be concrete functors.

Full work available at URL: https://arxiv.org/abs/1504.04683

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zbMATH Keywords

abstract elementary classaccessible category

Mathematics Subject Classification ID

Accessible and locally presentable categories (18C35) Abstract elementary classes and related topics (03C48) Abstract model theory (03C95)

Related Items (5)

Unnamed Item ⋮ General facts on the Scott adjunction ⋮ Around independence and domination in metric abstract elementary classes: assuming uniqueness of limit models ⋮ Abstract elementary classes with Löwenheim-Skolem number cofinal with \(\omega \) ⋮ Formal model theory and higher topology

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