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
1Department of Mathematics, Faculty of Science and Art, Erciyes University, Kayseri, Turkey
2Department of Mathematics, Faculty of Science and Art, İnönü University, Malatya, Turkey
Received 11 September 2000; Revised 26 February 2001
Copyright © 2001 Osman Mucuk and İlhan İçen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.