A generalization of higher rank graphs
Category Theory
2021-04-20 v1
Abstract
We introduce what we call `generalized higher rank -graphs' as a class of categories equipped with a notion of size. They extend not only the higher rank -graphs, but also the Levi categories introduced by the first author as a categorical setting for graphs of groups. We prove that examples of generalized higher rank -graphs can be constructed using Zappa-Sz\'ep products of groupoids and higher rank graphs.
Keywords
Cite
@article{arxiv.2104.09421,
title = {A generalization of higher rank graphs},
author = {M. V. Lawson and A. Vdovina},
journal= {arXiv preprint arXiv:2104.09421},
year = {2021}
}