Algebraic Models of Cubical Weak ∞-Categories with Connections

Camell Kachour

Algebraic Models of Cubical Weak ∞-Categories with Connections

Publish place: Categories and General Algebraic Structures with Applications، Vol: 16، Issue: 1

Publish Year: 1401

Type: Journal paper

Language: English

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Link to this Paper:

https://civilica.com/doc/1386965

Document National Code:

JR_CGASAT-16-1_005

Index date: 30 January 2022

Algebraic Models of Cubical Weak ∞-Categories with Connections 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.

Algebraic Models of Cubical Weak ∞-Categories with Connections Keywords:

cubical weak ∞-groupoids with connections , homology theory , homotopy theory , computer science

Algebraic Models of Cubical Weak ∞-Categories with Connections authors

Camell Kachour

Laboratoire de Math´ematiques d’Orsay, UMR ۸۶۲۸ Universit´e de Paris-Saclay and CNRS

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