English

Monads in 2-categories

Category Theory 2026-05-06 v1

Abstract

This is a condensed overview of the formal theory of monads in a 2-category. We also define two double categories of monads in a 2-category, extending Lack and Street's 2-categories of monads.

Keywords

Cite

@article{arxiv.2605.03102,
  title  = {Monads in 2-categories},
  author = {Aaron David Fairbanks},
  journal= {arXiv preprint arXiv:2605.03102},
  year   = {2026}
}
R2 v1 2026-07-01T12:49:23.501Z