Work

Gray tensor product and saturated $N$-complicial sets

Year: 2020

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2007.01235

Authors: Ozornova, Viktoriya, Rovelli, Martina, Verity, Dominic

Institution: Ruhr University Bochum

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft, Australian Research Council, Division of Mathematical Sciences

Awards: G202495085, Working synthetically in higher categorical structures, Modelle für höhere Kategorien, G5969482202, Mathematical Sciences Research Institute (MSRI)

OpenAlex ID: W4381377903

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Cited by: 2

Related to: 10