Abstract elementary classes and accessible categories

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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Citations of this work

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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.
Category-theoretic aspects of abstract elementary classes.Michael J. Lieberman - 2011 - Annals of Pure and Applied Logic 162 (11):903-915.
Accessible categories, saturation and categoricity.Jiří Rosický - 1997 - Journal of Symbolic Logic 62 (3):891-901.
Accessible Categories, Saturation and Categoricity.Jiri Rosicky - 1997 - Journal of Symbolic Logic 62 (3):891-901.

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