On lax epimorphisms and the associated factorization

Fernando Lucatelli Nunes*, Lurdes Sousa

*Corresponding author for this work

    Research output: Working paperPreprintAcademic

    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 languageEnglish
    PublisherarXiv
    Pages1-25
    DOIs
    Publication statusPublished - 20 Sept 2021

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