Journal Name:
- İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi
Author Name | University of Author |
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Abstract (2. Language):
It is known that if X is a topological group, then the fundamen-
tal groupoid ¼1(X) is a group-groupoid, i,e, a group object in the category of
groupoids. The group structure of a group-groupoid lifts to a covering groupoid.
Further if G is a group-groupoid, then the category GpGdAct(G) of group-
groupoid operations and the category GpGdCov=G of group-groupoid coverings
of G are equivalent.
In this paper we prove the corresponding results for local topological groups
and local group objects in the category of groupoids.
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FULL TEXT (PDF):
97-108