The universal covering homomorphism in o-minimal expansions of groups

  title={The universal covering homomorphism in o-minimal expansions of groups},
  author={M{\'a}rio J. Edmundo and Pantelis E. Eleftheriou},
  journal={Math. Log. Q.},
Suppose that G is a definably connected, definable group in an ominimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism p̃ : G̃ −→ G is a locally definable covering homomorphism and π1(G) is isomorphic to the o-minimal fundamental group π(G) of G defined using locally definable covering homomorphisms. ∗With partial support from the FCT (Fundação para a Ciência e Tecnologia), program POCTI (Portugal/FEDER-EU). †Partially supported by NSF grant DMS-02… CONTINUE READING

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