Multiple Categories: The Equivalence of a Globular and a Cubical Approach
By Fahd Ali Al-Agl, Ronald Brown, R. Steiner. 2000
99 citations recorded by the source corpus.
Abstract We show the equivalence of two kinds of strict multiple category, namely the well-known globular ω -categories, and the cubical ω -categories with connections.
Subfields: Geometry and Topology, Mathematical Physics, Neurology
View Paper: https://www.semanticscholar.org/paper/b1ffcac54905cad64ec19da9d15da091a1ea1533
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Cubical sets and their site (2003, background): “(The dual relations have appeared quite recently, in [ 1 ], Section 3; but a partial version with one connection can be found in [4], p. 235).”
- La catégorie cubique avec connexions est une catégorie test stricte (2009, background): “Les connexions sont également cruciales pour la comparaison de l’approche cubique et de l’approche globulaire des ∞-catégories [1].”