Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/114082
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Clementino, Maria Manuel | - |
dc.contributor.author | Lucatelli Nunes, Fernando | - |
dc.date.accessioned | 2024-03-19T09:59:39Z | - |
dc.date.available | 2024-03-19T09:59:39Z | - |
dc.date.issued | 2022-12-27 | - |
dc.identifier.issn | 1607-3606 | pt |
dc.identifier.issn | 1727-933X | pt |
dc.identifier.uri | https://hdl.handle.net/10316/114082 | - |
dc.description | 12 pages | pt |
dc.description.abstract | Let $\mathsf{Ord} $ be the category of (pre)ordered sets. Unlike $\mathsf{Ord}/X$, whose behaviour is well-known, not much can be found in the literature about the lax comma 2-category $\mathsf{Ord} //X$. In this paper we show that the forgetful functor $\mathsf{Ord} //X\to \mathsf{Ord} $ is topological if and only if $X$ is complete. Moreover, under suitable hypothesis, $\mathsf{Ord} // X$ is complete and cartesian closed if and only if $X$ is. We end by analysing descent in this category. Namely, when $X$ is complete and cartesian closed, we show that, for a morphism in $\mathsf{Ord} //X$, being pointwise effective for descent in $\mathsf{Ord} $ is sufficient, while being effective for descent in $\mathsf{Ord} $ is necessary, to be effective for descent in $\mathsf{Ord} //X$. | pt |
dc.language.iso | eng | pt |
dc.publisher | Taylor and Francis Ltd. | pt |
dc.relation | programme “Oberwolfach Leibniz Fellows” by the Mathematisches Forschungsinstitut Oberwolfach in 2022 | pt |
dc.relation | UIDB/00324/2020 | pt |
dc.rights | openAccess | pt |
dc.subject | Effective descent morphisms | pt |
dc.subject | laxcomma2-categories | pt |
dc.subject | comma categories | pt |
dc.subject | ex- ponentiability | pt |
dc.subject | cartesian closed categories | pt |
dc.subject | topological functors | pt |
dc.subject | enriched categories | pt |
dc.subject | Ord- enriched categories | pt |
dc.title | Lax comma categories of ordered sets | pt |
dc.type | article | - |
degois.publication.firstPage | 145 | pt |
degois.publication.lastPage | 159 | pt |
degois.publication.issue | sup1 | pt |
degois.publication.title | Quaestiones Mathematicae | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.2989/16073606.2023.2247729 | pt |
degois.publication.volume | 46 | pt |
dc.date.embargo | 2022-12-27 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.project.grantno | Center for Mathematics, University of Coimbra- CMUC | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-2653-8090 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Lax comma categories of ordered sets.pdf | 555.72 kB | Adobe PDF | View/Open |
Page view(s)
228
checked on Oct 9, 2024
Download(s)
184
checked on Oct 9, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.