Holonomy, extendibility, and the star universal cover of a topological groupoid

Osman Mucuk; Ilhan Icen

doi:10.4995/agt.2003.2011

Authors

Osman Mucuk Erciyes University
Ilhan Icen Ínönü University

DOI:

https://doi.org/10.4995/agt.2003.2011

Keywords:

Locally topological groupoids, Holonomy groupoid, Extendibility

Abstract

Let G be a groupoid and W be a subset of G which contains all the identities and has a topology. With some conditions on G and W, the pair (G;W) is called a locally topological groupoid. We explain a criterion for a locally topological groupoid to be extendible to a topological groupoid. In this paper we apply this result to get a topology on the monodromy groupoid MG which is the union of the universal covers of Gx's.

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Author Biographies

Osman Mucuk, Erciyes University

Department of Mathematics

Ilhan Icen, Ínönü University

Department of Mathematics

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