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Extendibility, monodromy, and local triviality for topological groupoids

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  • Osman Mucuk
  • İlhan İçen

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.

Suggested Citation

  • Osman Mucuk & İlhan İçen, 2001. "Extendibility, monodromy, and local triviality for topological groupoids," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:934215
    DOI: 10.1155/S0161171201010894
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