English

On The Combinatorics of the Gray Cylinder

Category Theory 2022-06-29 v1

Abstract

This paper develops some combinatorics of the lax Gray cylinder on the cells of {\Theta} understood as a full subcategory of the category of strict {\omega}-categories. More, we construct a span relating the Cartesian cylinder, the Gray cylinder, and the shift functor.

Keywords

Cite

@article{arxiv.2206.13725,
  title  = {On The Combinatorics of the Gray Cylinder},
  author = {Paul Lessard},
  journal= {arXiv preprint arXiv:2206.13725},
  year   = {2022}
}