Syntactic characterizations of properties of classifying toposes
Theory and applications of categories, Tome 26 (2012), pp. 176-193.

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

We give characterizations, for various fragments of geometric logic, of the class of theories classified by a locally connected (respectively connected and locally connected, atomic, compact, presheaf) topos, and exploit the existence of multiple sites of definition for a given topos to establish various results on quotients of theories of presheaf type.
Publié le :
Classification : 03G30, 18C10, 18B25
Keywords: Grothendieck topos, site characterizations, geometric logic, presheaf topos
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     author = {Olivia Caramello},
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Olivia Caramello. Syntactic characterizations of properties of classifying toposes. Theory and applications of categories, Tome 26 (2012), pp. 176-193. http://geodesic.mathdoc.fr/item/TAC_2012_26_a5/