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math.DG2000
Towards a 2-dimensional notion of holonomy
Ronald Brown, Ilhan Icen
Previous work (Pradines, 1966, Aof and Brown, 1992) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional notions start…
math.CT2000
Homotopies and automorphisms of crossed modules of groupoids
R. Brown, I. Icen
We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilb…
math.CT2000
Multiple categories: the equivalence of a globular and a cubical approach
Fahd A. A. Al-Agl, Ronald Brown, Richard Steiner
We show the equivalence of two kinds of strict multiple category, namely the well known globular omega-categories, and the cubical omega-categories with connections.