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Internal categories, anafunctors and localisations
Theory and applications of categories, Tome 26 (2012), pp. 788-829 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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 $S$.

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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},
     volume = {26},
     language = {en},
     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/