On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes; Lurdes Sousa

doi:10.48550/arXiv.2109.09836

On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes^*
, Lurdes Sousa

^*Corresponding author for this work

Research output: Working paper › Preprint › Academic

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
Publisher	arXiv
Pages	1-25
DOIs	https://doi.org/10.48550/arXiv.2109.09836
Publication status	Published - 20 Sept 2021

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https://arxiv.org/abs/2109.09836

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On lax epimorphisms and the associated factorization

Abstract

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