The universal covering homomorphism in o-minimal expansions of groups
| dc.contributor.author | Edmundo, Mário J. | |
| dc.contributor.author | Eleftheriou, Pantelis E. | |
| dc.date.accessioned | 2020-05-15T09:09:32Z | |
| dc.date.available | 2020-05-15T09:09:32Z | |
| dc.date.issued | 2007-11 | eng |
| dc.description.abstract | Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism $ \tilde p $: $ \tilde G $→ G is a locally definable covering homomorphism and π1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1002/malq.200610051 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/49508 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | O-minimal structures,universal covers | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | The universal covering homomorphism in o-minimal expansions of groups | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Edmundo2007-11unive-49508,
year={2007},
doi={10.1002/malq.200610051},
title={The universal covering homomorphism in o-minimal expansions of groups},
number={6},
volume={53},
issn={0942-5616},
journal={Mathematical Logic Quarterly},
pages={571--582},
author={Edmundo, Mário J. and Eleftheriou, Pantelis E.}
} | |
| kops.citation.iso690 | EDMUNDO, Mário J., Pantelis E. ELEFTHERIOU, 2007. The universal covering homomorphism in o-minimal expansions of groups. In: Mathematical Logic Quarterly. Wiley-Blackwell - STM. 2007, 53(6), pp. 571-582. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200610051 | deu |
| kops.citation.iso690 | EDMUNDO, Mário J., Pantelis E. ELEFTHERIOU, 2007. The universal covering homomorphism in o-minimal expansions of groups. In: Mathematical Logic Quarterly. Wiley-Blackwell - STM. 2007, 53(6), pp. 571-582. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200610051 | eng |
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<dcterms:abstract xml:lang="eng">Suppose G is a definably connected, definable group in an o-minimal expansion of an ordered group. We show that the o-minimal universal covering homomorphism <UEQN>$ \tilde p $</UEQN>: <UEQN>$ \tilde G $</UEQN>→ G is a locally definable covering homomorphism and π1(G) is isomorphic to the o-minimal fundamental group π (G) of G defined using locally definable covering homomorphisms.</dcterms:abstract>
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| kops.sourcefield | Mathematical Logic Quarterly. Wiley-Blackwell - STM. 2007, <b>53</b>(6), pp. 571-582. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200610051 | deu |
| kops.sourcefield.plain | Mathematical Logic Quarterly. Wiley-Blackwell - STM. 2007, 53(6), pp. 571-582. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200610051 | deu |
| kops.sourcefield.plain | Mathematical Logic Quarterly. Wiley-Blackwell - STM. 2007, 53(6), pp. 571-582. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200610051 | eng |
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