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Accessible categories, saturation and categoricity
Journal of Symbolic Logic 62 (3):891-901 (1997)
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 objectsAuthor's Profile
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Citations of this work
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.
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Rank Functions and Partial Stability Spectra for Tame Abstract Elementary Classes.Michael J. Lieberman - 2013 - Notre Dame Journal of Formal Logic 54 (2):153-166.
Metric abstract elementary classes as accessible categories.M. Lieberman & J. Rosický - 2017 - Journal of Symbolic Logic 82 (3):1022-1040.
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