On the reflective hull problem
Michel Hébert (1987)
Commentationes Mathematicae Universitatis Carolinae
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Michel Hébert (1987)
Commentationes Mathematicae Universitatis Carolinae
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G. Castellini (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Horst Herrlich, Lutz Schröder (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Reinhard Börger, Walter Tholen (1991)
Commentationes Mathematicae Universitatis Carolinae
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Adámek, Herrlich, and Reiterman showed that a cocomplete category is cocomplete if there exists a small (full) subcategory such that every -object is a colimit of -objects. The authors of the present paper strengthened the result to totality in the sense of Street and Walters. Here we weaken the hypothesis, assuming only that the colimit closure is attained by transfinite iteration of the colimit closure process up to a fixed ordinal. This requires some investigations on generalized...