Extendibility, monodromy, and local triviality for topological groupoids

Osman Mucuk and İlhan İçen

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-10

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:934215

DOI: 10.1155/S0161171201010894

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