On Certain 2-Categories Admitting Localisation by Bicategories of Fractions

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 in...

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Veröffentlicht in:Applied categorical structures 2016-08, Vol.24 (4), p.373-384
1. Verfasser: Roberts, David Michael
Format: Artikel
Sprache:eng
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Zusammenfassung: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 .
ISSN:0927-2852
1572-9095
DOI:10.1007/s10485-015-9400-4