A skew approach to enrichment for Gray-categories
Category Theory
2023-11-10 v3
Abstract
It is well known that the category of Gray-categories does not admit a monoidal biclosed structure that models weak higher-dimensional transformations. In this paper, the first of a series on the topic, we describe several skew monoidal closed structures on the category of Gray-categories, one of which captures higher lax transformations, and another which models higher pseudo-transformations.
Keywords
Cite
@article{arxiv.2212.12358,
title = {A skew approach to enrichment for Gray-categories},
author = {John Bourke and Gabriele Lobbia},
journal= {arXiv preprint arXiv:2212.12358},
year = {2023}
}
Comments
Extended intro. Added material on presentations of tensor products. Journal version