Extendibility, monodromy and local triviality for topological groupoids

Details Extendibility, monodromy and local triviality for topological groupoids Extendibility, monodromy and local triviality for topological groupoids

2000-09-10

arxiv.org/abs/math/0009100v1

Mathematics

Differential Geometry

9 pages, A4

Scientific paper

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.

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