Clones from comonoids
Category Theory
2024-10-24 v4
Abstract
The fact that the cocommutative comonoids in a symmetric monoidal category form the best possible approximation by a cartesian category is revisited when the original category is only braided monoidal. This leads to the question when the endomorphism operad of a comonoid is a clone (a Lawvere theory). By giving an explicit example, we prove that this does not imply that the comonoid is cocommutative.
Keywords
Cite
@article{arxiv.2109.09634,
title = {Clones from comonoids},
author = {Ulrich Krähmer and Myriam Mahaman},
journal= {arXiv preprint arXiv:2109.09634},
year = {2024}
}
Comments
Version currently accessible for early view in the Revista de la Uni\'on Matem\'atica