Higher Structures, Vol. 7, No. 1, pp. 1-21, 2023


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.
Keywords:  Gray tensor product; saturated n-complicial set; (∞; n)-category
Classification MSC:  55U35, 18G30, 18D05, 55U10

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