Geodesic
Site characterizations for geometric invariants of toposes
Theory and applications of categories, Tome 26 (2012), pp. 710-728

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

We discuss the problem of characterizing the property of a Grothendieck topos to satisfy a given `geometric' invariant as a property of its sites of definition, and indicate a set of general techniques for establishing such criteria. We then apply our methodologies to specific invariants, notably including the property of a Grothendieck topos to be localic (resp. atomic, locally connected, equivalent to a presheaf topos), obtaining explicit site characterizations for them.

Publié le :
Classification : 03G30, 18C10, 18B25
Keywords: Grothendieck topos, site characterizations, geometric logic 
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     author = {Olivia Caramello},
     title = {Site characterizations for geometric invariants of toposes},
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     volume = {26},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a24/}
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Olivia Caramello. Site characterizations for geometric invariants of toposes. Theory and applications of categories, Tome 26 (2012), pp. 710-728. http://geodesic.mathdoc.fr/item/TAC_2012_26_a24/