English

Mapping Coalgebras I: Comonads

Category Theory 2022-05-04 v2

Abstract

In this article we describe properties of the 2-functor from the 2-category of comonads to the 2-category of functors that sends a comonad to its forgetful functor. This allows us to describe contexts where algebras over a monad are enriched tensored and cotensored over coalgebras over a comonad.

Keywords

Cite

@article{arxiv.2009.10041,
  title  = {Mapping Coalgebras I: Comonads},
  author = {Brice Le Grignou},
  journal= {arXiv preprint arXiv:2009.10041},
  year   = {2022}
}

Comments

49 pages

R2 v1 2026-06-23T18:41:50.493Z