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On lax epimorphisms and the associated factorization
Published 20 Sep 2021 in math.CT | (2109.09836v2)
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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