Retrocells
Category Theory
2023-06-19 v2
Abstract
The notion of retrocell in a double category with companions is introduced and its basic properties established. Explicit descriptions in some of the usual double categories are given. Monads in a double category provide an important example where retrocells arise naturally. Cofunctors appear as a special case. The motivating example of vertically closed double categories is treated in some detail.
Cite
@article{arxiv.2306.06436,
title = {Retrocells},
author = {Robert Paré},
journal= {arXiv preprint arXiv:2306.06436},
year = {2023}
}
Comments
As referee suggested: References added, typos corrected, table of contents included