Extendibility, monodromy, and local triviality for topological groupoids
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 thos...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201010894 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |