International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 3, Pages 131-140
doi:10.1155/S0161171201010894
Extendibility, monodromy, and local triviality for topological groupoids
Osman Mucuk1
and İlhan İçen2
1Department of Mathematics, Faculty of Science and Art, Erciyes University, Kayseri, Turkey
2Department of Mathematics, Faculty of Science and Art, İnönü University, Malatya, Turkey
Abstract
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 maps of groupoid structure are continuous. The notion of monodromy groupoid of a topological groupoid generalizes those of fundamental groupoid and universal cover. It was earlier proved that the monodromy groupoid of a locally sectionable topological groupoid has the structure of a topological groupoid satisfying some properties. In this paper a similar problem is studied for compatible locally trivial topological groupoids.