English

Gray tensor product and saturated $N$-complicial sets

Algebraic Topology 2020-07-03 v1 Category Theory

Abstract

We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated NN-complicial sets (which are a proposed model of (,N)(\infty,N)-categories), in the form of a Quillen bifunctor and a homotopical bifunctor, respectively.

Keywords

Cite

@article{arxiv.2007.01235,
  title  = {Gray tensor product and saturated $N$-complicial sets},
  author = {Viktoriya Ozornova and Martina Rovelli and Dominic Verity},
  journal= {arXiv preprint arXiv:2007.01235},
  year   = {2020}
}
R2 v1 2026-06-23T16:48:28.079Z