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  1. Abstract elementary classes and accessible categories.Tibor Beke & Jirí Rosický - 2012 - 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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  • [Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.
    Reviewed Works:John R. Steel, A. S. Kechris, D. A. Martin, Y. N. Moschovakis, Scales on $\Sigma^1_1$ Sets.Yiannis N. Moschovakis, Scales on Coinductive Sets.Donald A. Martin, John R. Steel, The Extent of Scales in $L$.John R. Steel, Scales in $L$.
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  • Category-theoretic aspects of abstract elementary classes.Michael J. Lieberman - 2011 - Annals of Pure and Applied Logic 162 (11):903-915.
    We highlight connections between accessible categories and abstract elementary classes , and provide a dictionary for translating properties and results between the two contexts. We also illustrate a few applications of purely category-theoretic methods to the study of AECs, with model-theoretically novel results. In particular, the category-theoretic approach yields two surprising consequences: a structure theorem for categorical AECs, and a partial stability spectrum for weakly tame AECs.
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  • (2 other versions)[Omnibus Review].Paul C. Eklof - 2001 - Bulletin of Symbolic Logic 7 (2):285-286.
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