On certain 2-categories admitting localisation by bicategories of fractions
Category Theory
2018-02-02 v4
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.
Keywords
Cite
@article{arxiv.1402.7108,
title = {On certain 2-categories admitting localisation by bicategories of fractions},
author = {David Michael Roberts},
journal= {arXiv preprint arXiv:1402.7108},
year = {2018}
}
Comments
Focus changed after referee report; results now much more general. Final accepted version. Released under a CC0 license (http://creativecommons.org/publicdomain/zero/1.0/)