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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.
@article{TAC_2012_26_a5, author = {Olivia Caramello}, title = {Syntactic characterizations of properties of classifying toposes}, journal = {Theory and applications of categories}, pages = {176--193}, publisher = {mathdoc}, volume = {26}, year = {2012}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a5/} }
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/