6 papers
Holonomy and monodromy groupoids
Ronald Brown, Ilhan Icen, Osman Mucuk
We outline the construction of the holonomy groupoid of a locally Lie groupoid and the monodromy groupoid of a Lie groupoid. These specialise to the well known holonomy and monodro…
Extendibility, monodromy and local triviality for topological groupoids
Osman Mucuk, Ilhan Icen
A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all…
Some Results for the Local Subgroupoids
Ilhan Icen, Osman Mucuk
The notion of local subgroupoids as generalition of a local equivalence relations was defined by the first author and R.Brown. Here we investigate some relations between transitive…
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…
Local subgroupoids II: Examples and properties
R. Brown, I. Icen, O. Mucuk
The notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path co…
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…