The universal covering map in o-minimal expansions of groups

Edmundo, Mário; Eleftheriou, P. E.; Prelli, L.

http://hdl.handle.net/10400.2/2828

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Authors

Edmundo, Mário

Eleftheriou, P. E.

Prelli, L.

Abstract(s)

In 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.

Keywords

O-minimal universal covers Fundamental groups

URI

http://hdl.handle.net/10400.2/2828

Citation

Edmundo, 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. 1-39