1. Tibor Beke & Jirí Rosický (2012). Abstract Elementary Classes and Accessible Categories. Annals of Pure and Applied Logic 163 (12):2008-2017.
    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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  2. S. Awodey & Jiri Rosicky (2007). REVIEWS-Category Theory. Bulletin of Symbolic Logic 13 (3).
     
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  3. Jiří Rosický (1997). Accessible Categories, Saturation and Categoricity. Journal of Symbolic Logic 62 (3):891-901.
    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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