The universal covering map in o-minimal expansions of groups

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• 作者：M¨¢rio J. Edmundo ; Pantelis E. Eleftheriou ; Luca Prelli
• 关键词：03C64 ; 57M10
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：15 August, 2013
• 年：2013
• 卷：160
• 期：13
• 页码：1530-1556
• 全文大小：522 K

文摘

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.