Geodesic
Internal categories, anafunctors and localisations
Theory and applications of categories, Tome 26 (2012), pp. 788-829

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

In this article we review the theory of anafunctors introduced by Makkai and Bartels, and show that given a subcanonical site $S$, one can form a bicategorical localisation of various 2-categories of internal categories or groupoids at weak equivalences using anafunctors as 1-arrows. This unifies a number of proofs throughout the literature, using the fewest assumptions possible on $S$.

Publié le :
Classification : Primary 18D99, Secondary 18F10, 18D05, 22A22
Keywords: internal categories, anafunctors, localization, bicategory of fractions 
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     author = {David Michael Roberts},
     title = {Internal categories, anafunctors and localisations},
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     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/TAC_2012_26_a28/}
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David Michael Roberts. Internal categories, anafunctors and localisations. Theory and applications of categories, Tome 26 (2012), pp. 788-829. http://geodesic.mathdoc.fr/item/TAC_2012_26_a28/