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Preprint Number 78
78. Mário J. Edmundo and P. E. Eleftheriou
he universal covering homomorphism in o-minimal expansions of groups
Submission date: 18 July 2007
We show that in o-minimal expansions of groups, the universal covering homomorphism of a definable group is a locally definable covering homomorphism and the o-minimal fundamental group defined using definable paths is isomorphism to the o-minimal fundamental group defined using locally definable covering homomorphisms.
Mathematics Subject Classification: 03C64; 20E99
Keywords and phrases: O-minimal structures, universal cover, definable groups.
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