Adelaide Research & Scholarship
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https://hdl.handle.net/2440/102439
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| Type: | Journal article |
| Title: | On certain 2-categories admitting localisation by bicategories of fractions |
| Author: | Roberts, D. |
| Citation: | Applied Categorical Structures: a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, 2016; 24(4):373-384 |
| Publisher: | Springer Verlag (Germany) |
| Issue Date: | 2016 |
| ISSN: | 1572-9095 1572-9095 |
| Statement of Responsibility: | David Michael Roberts |
| 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: | 2-categories; Bicategories of fractions; Localization; Stacks |
| Rights: | © The Author(s) 2015. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| DOI: | 10.1007/s10485-015-9400-4 |
| Grant ID: | http://purl.org/au-research/grants/arc/DP120100106 |
| Published version: | http://dx.doi.org/10.1007/s10485-015-9400-4 |
| Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
Files in This Item:
| File | Description | Size | Format | |
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| hdl_102439.pdf | Published version | 1.69 MB | Adobe PDF | View/Open |
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