On lax epimorphisms and the associated factorization
Publication date
2022-12
Authors
Nunes, Fernando Lucatelli
Sousa, Lurdes
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
taverne
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, Taverne, Algebra and Number Theory
Citation
Lucatelli Nunes, F & Sousa, L 2022, 'On lax epimorphisms and the associated factorization', Journal of Pure and Applied Algebra, vol. 226, no. 12, 107126, pp. 1-27. https://doi.org/10.1016/j.jpaa.2022.107126