Geodesic
Points of affine categories and additivity
Theory and applications of categories, Tome 16 (2006), pp. 127-131

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

A category C is additive if and only if, for every object B of C, the category Pt(C,B) of pointed objects in the comma category (C,B) is canonically equivalent to C. We reformulate the proof of this known result in order to obtain a stronger one that uses not all objects of B of C, but only a conveniently defined generating class S. If C is a variety of universal algebras, then one can take S to be the class consisting of any single free algebra on a non-empty set.

Classification : 18C05, 18C10, 18C20
Keywords: Algebraic categories, affine spaces 
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     author = {A. Carboni and G. Janelidze},
     title = {Points of affine categories and additivity},
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     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a5/}
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A. Carboni; G. Janelidze. Points of affine categories and additivity. Theory and applications of categories, Tome 16 (2006), pp. 127-131. http://geodesic.mathdoc.fr/item/TAC_2006_16_a5/