Accessible categories, saturation and categoricity

Journal of Symbolic Logic 62 (3):891-901 (1997)
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Abstract

Model-theoretic concepts of saturation and categoricity are studied in the context of accessible categories. Accessible categories which are categorical in a strong sense are related to categories of $M$-sets ($M$ is a monoid). Typical examples of such categories are categories of $\lambda$-saturated objects

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10.2307/2275577

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Abstract elementary classes and accessible categories.Tibor Beke & Jirí Rosický - 2012 - Annals of Pure and Applied Logic 163 (12):2008-2017.
Category-theoretic aspects of abstract elementary classes.Michael J. Lieberman - 2011 - Annals of Pure and Applied Logic 162 (11):903-915.
Metric abstract elementary classes as accessible categories.M. Lieberman & J. Rosický - 2017 - Journal of Symbolic Logic 82 (3):1022-1040.

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