Autor:	Maehara, Yuki
Rok vydání:	2020
Předmět:	Mathematics - Category Theory Mathematics - Algebraic Topology 18D05 18D99 18G55 55U35 55U40
Zdroj:	Advances in Mathematics 377 (2021) 107461
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aim.2020.107461
Popis:	We construct an $(\infty,2)$-version of the (lax) Gray tensor product. On the 1-categorical level, this is a binary (or more generally an $n$-ary) functor on the category of $\Theta_2$-sets, and it is shown to be left Quillen with respect to Ara's model structure. Moreover we prove that this tensor product forms part of a "homotopical" (biclosed) monoidal structure, or more precisely a normal lax monoidal structure that is associative up to homotopy. Comment: v3: 63 pages. Minor revision. Published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.11757 Zobrazit plný text záznamu View this record from Arxiv