Algebraic models of cubical weak ∞-categories with connections

Document Type : Research Paper

Author

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

Abstract

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.

Keywords

References

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Categories and General Algebraic Structures with Applications
Volume 16, Issue 1
January 2022
Pages 143-187

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