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Local Group-Groupoids

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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.
97-108

REFERENCES

References: 

[1] Brown, R., Topology and groupoids, BookSurge LLC, U.K 2006.
[2] Brown, R. and Mucuk, O., Covering groups of non-connected topological groups revisited, Math.
Proc. Camb. Phill. Soc. 115 (1994) 97-110.
[3] Brown R. and Spencer C.B G-groupoids and the fundamental groupoid of a topological group, Proc.
Konn. Ned. Akad.v. Wet. 79 (1976) 296-302
[4] Chevalley, C., Theory of Lie groups, Princeton University Press, 1946.
[5] Olver, P.J., Non-associatibe local Lie groups, J. Lie Theory 6 (1996), 23-51.
[6] Higgins, P.J., Categories and groupoids, Van Nostrand, New York, 1971.
[7] Mucuk, O., Covering groups of non-connected topological groups and the monodromy groupoid of a
topological groupoid, PhD Thesis, University of Wales, 1993.
[8] Taylor, R.L., Covering groups of non-connected topological groups, Proc. Amer. Math. Soc., 5 (1954)
753-768.

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