2000/09/10 by Osman Mucuk, Mucuk, Osman, İlhan Içen +2
Decision Sciences · Mathematics · #22A05 #55M99 #55R15 #Advanced Topology and Set Theory #Category Theory (math.CT) #Differential Geometry (math.DG) #FOS: Mathematics #Fuzzy and Soft Set Theory #Homotopy and Cohomology in Algebraic Topology #math.CT #math.DG #msc:22A05 #msc:55M99 #msc:55R15
paper · pdf · doi:10.48550/arxiv.math/0009100
9 pages, A4
arxiv created 2000/09/10 · openalex publication_date 2000/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.