Geodesic
Syntactic characterizations of properties of classifying toposes
Theory and applications of categories, Tome 26 (2012), pp. 176-193 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

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Classification : 03G30, 18C10, 18B25
Keywords: Grothendieck topos, site characterizations, geometric logic, presheaf topos 
@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},
     year = {2012},
     volume = {26},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a5/}
}
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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/