Geodesic
On the Size of Categories
Theory and applications of categories, Tome 1 (1995), pp. 174-181

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

The purpose is to give a simple proof that a category is equivalent to a small category if and only if both it and its presheaf category are locally small.

Classification : 18A25.
Keywords: small, locally small, small homsets, idempotent, presheaf category. 
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     author = {Peter Freyd and Ross Street},
     title = {On the {Size} of {Categories}},
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     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a8/}
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Peter Freyd; Ross Street. On the Size of Categories. Theory and applications of categories, Tome 1 (1995), pp. 174-181. http://geodesic.mathdoc.fr/item/TAC_1995_1_a8/