On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes; Lurdes Sousa

doi:10.1016/j.jpaa.2022.107126

On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes^*
, Lurdes Sousa

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We study lax epimorphisms in 2-categories, with special attention to Cat and V-Cat. We show that any 2-category with convenient colimits has an orthogonal LaxEpi-factorization system, and we give a concrete description of this factorization in Cat.

Original language	English
Article number	107126
Pages (from-to)	1-27
Number of pages	27
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2022.107126
Publication status	Published - Dec 2022

Bibliographical note

Funding Information:
This research was partially supported by the Centre for Mathematics of the University of Coimbra - UIDB/00324/2020 , funded by the Portuguese Government through FCT/MCTES .

Publisher Copyright:
© 2022 Elsevier B.V.

Funding

This research was partially supported by the Centre for Mathematics of the University of Coimbra - UIDB/00324/2020 , funded by the Portuguese Government through FCT/MCTES .

Keywords

2-categories
Enriched categories
Factorization systems
Fully faithful morphisms
Weighted (co)limits

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10.1016/j.jpaa.2022.107126

1-s2.0-S0022404922001220-mainFinal published version, 540 KBLicence: Taverne

Cite this

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abstract = "We study lax epimorphisms in 2-categories, with special attention to Cat and V-Cat. We show that any 2-category with convenient colimits has an orthogonal LaxEpi-factorization system, and we give a concrete description of this factorization in Cat.",

keywords = "2-categories, Enriched categories, Factorization systems, Fully faithful morphisms, Weighted (co)limits",

author = "\{Lucatelli Nunes\}, Fernando and Lurdes Sousa",

note = "Funding Information: This research was partially supported by the Centre for Mathematics of the University of Coimbra - UIDB/00324/2020 , funded by the Portuguese Government through FCT/MCTES . Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

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KW - 2-categories

KW - Enriched categories

KW - Factorization systems

KW - Fully faithful morphisms

KW - Weighted (co)limits

UR - https://www.scopus.com/pages/publications/85130384765

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ER -

On lax epimorphisms and the associated factorization

Abstract

Bibliographical note

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Keywords

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