Geodesic
On Supercompactly and Compactly Generated Toposes
Theory and applications of categories, Tome 37 (2021), pp. 1017-1079.

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

We present and characterize the classes of Grothendieck toposes having enough supercompact objects or enough compact objects. In the process, we examine the subcategories of supercompact objects and compact objects within such toposes and classes of geometric morphism which interact well with these objects. We also present canonical classes of sites generating such toposes.
Publié le :
Classification : 18F10, 18B25
Keywords: Grothendieck topos, supercompact object, morphism of sites, presheaf topos, regular topos, coherent topos 
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     author = {Morgan Rogers},
     title = {On {Supercompactly} and {Compactly} {Generated} {Toposes}},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a31/}
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Morgan Rogers. On Supercompactly and Compactly Generated Toposes. Theory and applications of categories, Tome 37 (2021), pp. 1017-1079. http://geodesic.mathdoc.fr/item/TAC_2021_37_a31/