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arXiv · 1402.7108

On certain 2-categories admitting localisation by bicategories of fractions

David Michael Roberts
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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.

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David Michael Roberts. 2015-06-11. On certain 2-categories admitting localisation by bicategories of fractions. https://doi.org/10.1007/s10485-015-9400-4

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