Monoidal characterisation of groupoids and connectors
Category Theory
2020-08-31 v2
Abstract
We study internal structures in regular categories using monoidal methods. Groupoids in a regular Goursat category can equivalently be described as special dagger Frobenius monoids in its monoidal category of relations. Similarly, connectors can equivalently be described as Frobenius structures with a ternary multiplication. We study such ternary Frobenius structures and the relationship to binary ones, generalising that between connectors and groupoids.
Keywords
Cite
@article{arxiv.1906.02056,
title = {Monoidal characterisation of groupoids and connectors},
author = {Marino Gran and Chris Heunen and Sean Tull},
journal= {arXiv preprint arXiv:1906.02056},
year = {2020}
}