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arXiv · 2007.01235

Gray tensor product and saturated $N$-complicial sets

Viktoriya Ozornova·Martina Rovelli·Dominic Verity
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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 $(\infty,N)$-categories), in the form of a Quillen bifunctor and a homotopical bifunctor, respectively.

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Viktoriya Ozornova, Martina Rovelli, Dominic Verity. 2020-07-02. Gray tensor product and saturated $N$-complicial sets. https://arxiv.org/abs/2007.01235

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