Algebraic models of cubical weak ∞-categories with connections

نویسندگان

1 Laboratoire de Math´ematiques d’Orsay, UMR 8628 Universit´e de Paris-Saclay and CNRS

doi
10.52547/cgasa.2021.101533
چکیده

In this article we adapt some aspects of Penon’s article [23] to cubical geometry. More precisely we define a monad on the category CSets of cubical sets (without degeneracies) whose algebras are models of cubical weak ∞-categories with connections.