Gray tensor product and saturated NN-complicial sets

preprint2020arXivOpen access

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.

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