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Preprint Number 78

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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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