Edmundo, MárioEleftheriou, P. E.Prelli, L.2014-01-212014-01-212013-08Edmundo, Mário; Eleftheriou, P. E.; Prelli, L. - The universal covering map in o-minimal expansions of groups. "Topology and its Applications" [Em linha]. ISSN 0166-8641 (Print) 1879-3207 (Online). Vol. 160, nº 13 (ago. 2013), p. 1-390166-8641 (Print)1879-3207 (Online)http://hdl.handle.net/10400.2/2828In this paper we study locally definable manifolds and we prove: (i) the existence of universal locally definable covering maps; (ii) invariance results for locally definable covering maps, o-minimal fundamental groups and fundamental groupoids; (iii) monodromy equivalence for locally constant o-minimal sheaves; (iv) classification results for locally definable covering maps; (v) o-minimal Hurewicz and Seifert-van Kampen theorems.engO-minimal universal coversFundamental groupsjournal article