English

Some Remarks on the Interchange in Gray-categories

Category Theory 2023-10-06 v1

Abstract

We prove a generalised interchange equality for 3-cells in a Gray-category, i.e. we show that it still holds modulo the unique isomorphism given by the Gray-categorical pasting theorem of Di Vittorio. This significantly simplifies many calculations in Gray-categories.

Cite

@article{arxiv.2310.03503,
  title  = {Some Remarks on the Interchange in Gray-categories},
  author = {Nicola Di Vittorio and Gabriele Lobbia},
  journal= {arXiv preprint arXiv:2310.03503},
  year   = {2023}
}

Comments

14 pages, comments welcome

R2 v1 2026-06-28T12:41:29.897Z