Algebraic models of cubical weak higher structures
نویسندگان
1 Laboratoire de Mathématiques d’Orsay, UMR 8628 Université de Paris-Saclay and CNRS Bâtiment 307, Faculté des Sciences d’Orsay
doi
10.52547/cgasa.2021.101544چکیده
In this article we recast some of the results developped in articles [19, 22] but in the setup of cubical geometry. Thus we define a monad on ℂ𝕊ets whose algebras are models of cubical weak ∞-groupoids with connections. In addition, we define a monad on the category ℂ𝕊ets ×ℂ𝕊ets whose algebras are models of cubical weak ∞-functors, and a monad on the category ℂ𝕊ets ×ℂ𝕊ets ×ℂ𝕊ets ×ℂ𝕊ets whose algebras are models of cubical weak ∞-natural transformations.
