The universal covering map in o-minimal expansions of groups

作者：Edmundo Mario J^*; Eleftheriou Pantelis E; Prelli Luca

来源：Topology and Its Applications, 2013, 160(13): 1530-1556.

DOI：10.1016/j.topol.2013.05.025

• O-minimal universal covers
• Fundamental groups

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.

• 出版日期2013-8-15