Geodesic
Topoi of parametrized objects
Theory and applications of categories, Tome 34 (2019), pp. 243-248

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

We give necessary and sufficient conditions on a presentable $\infty$-category $C$ so that families of objects of $C$ form an $\infty$-topos. In particular, we prove a conjecture of Joyal that this is the case whenever $C$ is stable.

Publié le :
Classification : 18B25, 55P99
Keywords: Higher topos theory 
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     author = {Marc Hoyois},
     title = {Topoi of parametrized objects},
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     pages = {243--248},
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     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a8/}
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Marc Hoyois. Topoi of parametrized objects. Theory and applications of categories, Tome 34 (2019), pp. 243-248. http://geodesic.mathdoc.fr/item/TAC_2019_34_a8/