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On Certain 2-Categories Admitting Localisation by Bicategories of Fractions

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Abstract

Pronk’s theorem on bicategories of fractions is applied, in almost all cases in the literature, to 2-categories of geometrically presentable stacks on a 1-site. We give an proof that subsumes all previous such results and which is purely 2-categorical in nature, ignoring the nature of the objects involved. The proof holds for 2-categories that are not (2,1)-categories, and we give conditions for local essential smallness. This is the published version of arXiv:1402.7108.

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Correspondence to David Michael Roberts.

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Roberts, D.M. On Certain 2-Categories Admitting Localisation by Bicategories of Fractions. Appl Categor Struct 24, 373–384 (2016). https://doi.org/10.1007/s10485-015-9400-4

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