On Categories of Relations
Mara Alagić (1989)
Publications de l'Institut Mathématique
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Mara Alagić (1989)
Publications de l'Institut Mathématique
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Jiří Adámek, Jiří Rosický (1996)
Commentationes Mathematicae Universitatis Carolinae
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For categories with equalizers the concepts ``accessible'' and ``axiomatizable'' are equivalent. This results is proved under (in fact, is equivalent to) the large-cardinal Vopěnka's principle.
G. M. Kelly (1986)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Marco Grandis, Robert Paré (2012)
Diagrammes
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Lack, Stephen (2007)
Theory and Applications of Categories [electronic only]
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Fajstrup, L., Rosický, J. (2008)
Theory and Applications of Categories [electronic only]
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Bourn, Dominique, Gran, Marino (2001)
Theory and Applications of Categories [electronic only]
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Karazeris, Panagis (2001)
Theory and Applications of Categories [electronic only]
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Julia E. Bergner, Philip Hackney (2015)
Fundamenta Mathematicae
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We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively, we define categories which instead encode the structure of a category acting on a category, or a category acting on an operad. We prove that the former has the structure of an elegant Reedy category, whereas the latter has the structure of a generalized Reedy category. In particular, this approach gives a new...