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arXiv · 2109.09836

On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes·Lurdes Sousa
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Abstract

We study lax epimorphisms in 2-categories, with special attention to $\mathsf{Cat}$ and $\mathcal{V}$-$\mathsf{Cat}$. 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 $\mathsf{Cat}$.

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Fernando Lucatelli Nunes, Lurdes Sousa. 2021-09-20. On lax epimorphisms and the associated factorization. https://doi.org/10.1016/j.jpaa.2022.107126

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