The universal covering homomorphism in o-minimal expansions of groups

Edmundo, Mário Jorge; Eleftheriou, P. E.

http://hdl.handle.net/10400.2/2838

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Authors

Edmundo, Mário Jorge

Eleftheriou, P. E.

Abstract(s)

Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism p:U->G is a locally definable covering homomorphism and π_1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms.

Keywords

Definable groups O-minimal structures Universal covers

URI

http://hdl.handle.net/10400.2/2838

Citation

Edmundo, Mário Jorge; Eleftheriou, P. E. - The universal covering homomorphism in o-minimal expansions of groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 0942-5616. Vol. 53, Nº 6 (2007), p. 1-20