Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35180
Title: | The monotone-light factorization for 2-categories via 2-preorders |
Author: | Xarez, João J. |
Keywords: | Monotone-light factorization 2-categories |
Issue Date: | 25-Oct-2022 |
Abstract: | It is shown that the reflection 2Cat --> 2PreOrd of the category of all 2-categories into the category of 2-preorders determines a monotone-light factorization system on 2Cat and that the light morphisms are precisely the 2-functors faithful on 2-cells with respect to the vertical structure. In order to achieve such result it was also proved that the reflection 2Cat --> 2Preord has stable units, a stronger condition than admissibility in categorical Galois theory, and that the 2-functors surjective both on horizontally and on vertically composable triples of 2-cells are the effective descent morphisms in 2Cat. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35180 |
ISSN: | 1201-561X |
Publisher Version: | http://www.tac.mta.ca/tac/volumes/38/31/38-31abs.html |
Appears in Collections: | CIDMA - Artigos AGG - Artigos |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.