Geodesic
Subgroupoids and quotient theories
Theory and applications of categories, Tome 28 (2013), pp. 541-551

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

Moerdijk's site description for equivariant sheaf toposes on open topological groupoids is used to give a proof for the (known, but apparently unpublished) proposition that if $H$ is a subgroupoid of an open topological groupoid $G$, then the topos of equivariant sheaves on $H$ is a subtopos of the topos of equivariant sheaves on $G$. This proposition is then applied to the study of quotient geometric theories and subtoposes. In particular, an intrinsic characterization is given of those subgroupoids that are definable by quotient theories.

Publié le :
Classification : 18B25, 03G30, 18F99
Keywords: Grothendieck toposes, sheaves on topological groupoids, categorical logic 
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     author = {Henrik Forssell},
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Henrik Forssell. Subgroupoids and quotient theories. Theory and applications of categories, Tome 28 (2013), pp. 541-551. http://geodesic.mathdoc.fr/item/TAC_2013_28_a17/