4 papers · 1 filter
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…
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…