The universal covering map in o-minimal expansions of groups
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Edmundo, Mário J.; Eleftheriou, Pantelis E.; Prelli, Luca |
| Year of publication: | 2013 |
| Published in: | Topology and its Applications ; 160 (2013), 13. - pp. 1530-1556. - Elsevier. - ISSN 0166-8641. - eISSN 1879-3207 |
| DOI (citable link): | https://dx.doi.org/10.1016/j.topol.2013.05.025 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Keywords: | O-minimal universal covers, Fundamental groups |
| Refereed: | Unknown |
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EDMUNDO, Mário J., Pantelis E. ELEFTHERIOU, Luca PRELLI, 2013. The universal covering map in o-minimal expansions of groups. In: Topology and its Applications. Elsevier. 160(13), pp. 1530-1556. ISSN 0166-8641. eISSN 1879-3207. Available under: doi: 10.1016/j.topol.2013.05.025
@article{Edmundo2013-08unive-49644, title={The universal covering map in o-minimal expansions of groups}, year={2013}, doi={10.1016/j.topol.2013.05.025}, number={13}, volume={160}, issn={0166-8641}, journal={Topology and its Applications}, pages={1530--1556}, author={Edmundo, Mário J. and Eleftheriou, Pantelis E. and Prelli, Luca} }
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