Partial groups as symmetric simplicial sets
Group Theory
2025-03-10 v2 Algebraic Topology
Category Theory
Abstract
We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits in the category of partial groups. We also introduce the notion of a partial groupoid, which encompasses both groupoids and partial groups.
Cite
@article{arxiv.2310.01513,
title = {Partial groups as symmetric simplicial sets},
author = {Philip Hackney and Justin Lynd},
journal= {arXiv preprint arXiv:2310.01513},
year = {2025}
}
Comments
22 pages, accepted version