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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832550365996777472 |
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| author | Osman Mucuk İlhan İçen |
| author_facet | Osman Mucuk İlhan İçen |
| author_sort | Osman Mucuk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a42c89cfe0c049e69e170a9ac070d358 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a42c89cfe0c049e69e170a9ac070d3582025-02-03T06:07:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127313114010.1155/S0161171201010894Extendibility, monodromy, and local triviality for topological groupoidsOsman Mucuk0İlhan İçen1Department of Mathematics, Faculty of Science and Art, Erciyes University, Kayseri, TurkeyDepartment of Mathematics, Faculty of Science and Art, İnönü University, Malatya, TurkeyA 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.http://dx.doi.org/10.1155/S0161171201010894 |
| spellingShingle | Osman Mucuk İlhan İçen Extendibility, monodromy, and local triviality for topological groupoids International Journal of Mathematics and Mathematical Sciences |
| title | Extendibility, monodromy, and local triviality for topological groupoids |
| title_full | Extendibility, monodromy, and local triviality for topological groupoids |
| title_fullStr | Extendibility, monodromy, and local triviality for topological groupoids |
| title_full_unstemmed | Extendibility, monodromy, and local triviality for topological groupoids |
| title_short | Extendibility, monodromy, and local triviality for topological groupoids |
| title_sort | extendibility monodromy and local triviality for topological groupoids |
| url | http://dx.doi.org/10.1155/S0161171201010894 |
| work_keys_str_mv | AT osmanmucuk extendibilitymonodromyandlocaltrivialityfortopologicalgroupoids AT ilhanicen extendibilitymonodromyandlocaltrivialityfortopologicalgroupoids |