Geodesic
A duality relative to a limit doctrine
Theory and applications of categories, Tome 10 (2002), pp. 486-497.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We give a unified proof of Gabriel-Ulmer duality for locally finitely presentable categories, Adamek-Lawvere-Rosicky duality for varieties and Morita duality for presheaf categories. As an application, we compare presheaf categories and varieties.
Classification : 18C10, 18C35, 18A25, 18A30, 18A35.
Keywords: limit doctrines, locally D-presentable categories, duality. 
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     author = {C. Centazzo and E.M. Vitale},
     title = {A duality relative to a limit doctrine},
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     url = {http://geodesic.mathdoc.fr/item/TAC_2002_10_a19/}
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C. Centazzo; E.M. Vitale. A duality relative to a limit doctrine. Theory and applications of categories, Tome 10 (2002), pp. 486-497. http://geodesic.mathdoc.fr/item/TAC_2002_10_a19/