Lax orthogonal factorisations in monad-quantale-enriched categories

Detalhes bibliográficos
Autor(a) principal: Clementino, Maria Manuel
Data de Publicação: 2017
Outros Autores: López-Franco, Ignacio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/89419
https://doi.org/doi.org/10.23638/LMCS-13(3:32)2017
Resumo: We show that, for a quantale V and a Set-monad T laxly extended to V-Rel, the presheaf monad on the category of (T,V)-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose corresponding weak factorisation system has embeddings as left part. In addition, we present presheaf submonads and study the LOFSs they define. This provides a method of constructing weak factorisation systems on some well-known examples of topological categories over Set.
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spelling Lax orthogonal factorisations in monad-quantale-enriched categoriesWe show that, for a quantale V and a Set-monad T laxly extended to V-Rel, the presheaf monad on the category of (T,V)-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose corresponding weak factorisation system has embeddings as left part. In addition, we present presheaf submonads and study the LOFSs they define. This provides a method of constructing weak factorisation systems on some well-known examples of topological categories over Set.Logical Methods in Computer Science2017-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/89419http://hdl.handle.net/10316/89419https://doi.org/doi.org/10.23638/LMCS-13(3:32)2017eng1860-5974https://lmcs.episciences.org/3960Clementino, Maria ManuelLópez-Franco, Ignacioinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-05-25T01:31:12Zoai:estudogeral.uc.pt:10316/89419Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:09:44.601765Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Lax orthogonal factorisations in monad-quantale-enriched categories
title Lax orthogonal factorisations in monad-quantale-enriched categories
spellingShingle Lax orthogonal factorisations in monad-quantale-enriched categories
Clementino, Maria Manuel
title_short Lax orthogonal factorisations in monad-quantale-enriched categories
title_full Lax orthogonal factorisations in monad-quantale-enriched categories
title_fullStr Lax orthogonal factorisations in monad-quantale-enriched categories
title_full_unstemmed Lax orthogonal factorisations in monad-quantale-enriched categories
title_sort Lax orthogonal factorisations in monad-quantale-enriched categories
author Clementino, Maria Manuel
author_facet Clementino, Maria Manuel
López-Franco, Ignacio
author_role author
author2 López-Franco, Ignacio
author2_role author
dc.contributor.author.fl_str_mv Clementino, Maria Manuel
López-Franco, Ignacio
description We show that, for a quantale V and a Set-monad T laxly extended to V-Rel, the presheaf monad on the category of (T,V)-categories is simple, giving rise to a lax orthogonal factorisation system (lofs) whose corresponding weak factorisation system has embeddings as left part. In addition, we present presheaf submonads and study the LOFSs they define. This provides a method of constructing weak factorisation systems on some well-known examples of topological categories over Set.
publishDate 2017
dc.date.none.fl_str_mv 2017-09
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/89419
http://hdl.handle.net/10316/89419
https://doi.org/doi.org/10.23638/LMCS-13(3:32)2017
url http://hdl.handle.net/10316/89419
https://doi.org/doi.org/10.23638/LMCS-13(3:32)2017
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1860-5974
https://lmcs.episciences.org/3960
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Logical Methods in Computer Science
publisher.none.fl_str_mv Logical Methods in Computer Science
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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