Abstract elementary classes and accessible categories

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Annals of Pure and Applied Logic 163 (12):2008-2017 (2012)
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Abstract

We investigate properties of accessible categories with directed colimits and their relationship with categories arising from ShelahʼsElementary Classes. We also investigate ranks of objects in accessible categories, and the effect of accessible functors on ranks.

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10.1016/j.apal.2012.06.003

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Citations of this work

Nsop $_1$ -Like Independence in Aecats.Mark Kamsma - 2024 - Journal of Symbolic Logic 89 (2):724-757.
The kim–pillay theorem for abstract elementary categories.Mark Kamsma - 2020 - Journal of Symbolic Logic 85 (4):1717-1741.
Classification theory for accessible categories.M. Lieberman & J. Rosický - 2016 - Journal of Symbolic Logic 81 (1):151-165.

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References found in this work

[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
Abstract elementary classes and infinitary logics.David W. Kueker - 2008 - Annals of Pure and Applied Logic 156 (2):274-286.
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Accessible categories, saturation and categoricity.Jiri Rosicky - 1997 - Journal of Symbolic Logic 62 (3):891-901.

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