Perfect maps are exponentiable - categorically.
Richter, Günther, Tholen, Walter (2001)
Theory and Applications of Categories [electronic only]
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Richter, Günther, Tholen, Walter (2001)
Theory and Applications of Categories [electronic only]
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David Holgate (1998)
Commentationes Mathematicae Universitatis Carolinae
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We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
Clementino, M.M., Giuli, E., Tholen, W. (1996)
Portugaliae Mathematica
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Acta Universitatis Apulensis. Mathematics - Informatics
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Niefield, Susan (2001)
Theory and Applications of Categories [electronic only]
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Theory and Applications of Categories [electronic only]
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A. Błaszczyk (1973)
Colloquium Mathematicae
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Luciano Stramaccia (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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