Gray tensor product and saturated N-complicial sets
Dominic Verity, Martina Rovelli, Viktoriya Ozornova
Received November 23rd 2020. Published online May 21st 2023.
Abstract: We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated N-complicial sets (which are a proposed model of (∞,N)-categories), in the form of a Quillen bifunctor and a homotopical bifunctor, respectively.