English

On lax epimorphisms and the associated factorization

Category Theory 2023-11-13 v2

Abstract

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

Keywords

Cite

@article{arxiv.2109.09836,
  title  = {On lax epimorphisms and the associated factorization},
  author = {Fernando Lucatelli Nunes and Lurdes Sousa},
  journal= {arXiv preprint arXiv:2109.09836},
  year   = {2023}
}
R2 v1 2026-06-24T06:09:38.834Z