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http://hdl.handle.net/10773/35180
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xarez, João J. | pt_PT |
dc.date.accessioned | 2022-11-15T10:12:56Z | - |
dc.date.available | 2022-11-15T10:12:56Z | - |
dc.date.issued | 2022-10-25 | - |
dc.identifier.issn | 1201-561X | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/35180 | - |
dc.description.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. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PT | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F04106%2F2020/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Monotone-light factorization | pt_PT |
dc.subject | 2-categories | pt_PT |
dc.title | The monotone-light factorization for 2-categories via 2-preorders | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1209 | pt_PT |
degois.publication.issue | 31 | pt_PT |
degois.publication.lastPage | 1229 | pt_PT |
degois.publication.title | Theory and Applications of Categories | pt_PT |
degois.publication.volume | 38 | pt_PT |
dc.relation.publisherversion | http://www.tac.mta.ca/tac/volumes/38/31/38-31abs.html | pt_PT |
Appears in Collections: | CIDMA - Artigos AGG - Artigos |
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