Internal groupoids as involutive-2-links
Category Theory
2023-05-24 v1
Abstract
Regardless of its environment, the category of internal groupoids is shown to be equivalent to the full subcategory of involutive-2-links that are unital and associative. The new notion of involutive-2-link originates from the study of triangulated surfaces and their application in additive manufacturing and 3d-printing. Thus, this result establishes a bridge between the structure of an internal groupoid and an abstract triangulated surface. An example is provided which can be thought of as a crossed-module of magmas rather than groups.
Keywords
Cite
@article{arxiv.2305.13537,
title = {Internal groupoids as involutive-2-links},
author = {Nelson Martins-Ferreira},
journal= {arXiv preprint arXiv:2305.13537},
year = {2023}
}