Extendibility, monodromy and local triviality for topological groupoids
- Resource Type
- Working Paper
- Authors
- Mucuk, Osman; Icen, Ilhan
- Source
- Subject
- Mathematics - Differential Geometry
Mathematics - Category Theory
22A05, 55M99, 55R15
- Language
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 groupoid structure maps are continuous. The notion of monodromy groupoid of a topological groupoid generalises those of fundamental groupoid and universal covering. It was earlier proved that the monodromy of a locally sectionable topological groupoid has a topological groupoid structure satisfying some properties. In this paper a similar problem is studied for compatible locally trivial topological groupoids.
Comment: 9 pages, A4