Definable groups as homomorphic images of semi-linear and field-definable groups
| dc.contributor.author | Eleftheriou, Pantelis E. | |
| dc.contributor.author | Peterzil, Ya'acov | |
| dc.date.accessioned | 2020-05-27T07:34:37Z | |
| dc.date.available | 2020-05-27T07:34:37Z | |
| dc.date.issued | 2012-12 | eng |
| dc.description.abstract | We analyze definably compact groups in o-minimal expansions of ordered groups as a combination of semi-linear groups and groups definable in o-minimal expansions of real closed fields. The analysis involves structure theorems about their locally definable covers. As a corollary, we prove the compact domination conjecture in o-minimal expansions of ordered groups. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1007/s00029-012-0092-4 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/49658 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | O-minimality, Semi-bounded structure, Locally definable groups, Definable quotients, Type-definable groups | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Definable groups as homomorphic images of semi-linear and field-definable groups | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Eleftheriou2012-12Defin-49658,
year={2012},
doi={10.1007/s00029-012-0092-4},
title={Definable groups as homomorphic images of semi-linear and field-definable groups},
number={4},
volume={18},
issn={1022-1824},
journal={Selecta Mathematica},
pages={905--940},
author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov}
} | |
| kops.citation.iso690 | ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2012. Definable groups as homomorphic images of semi-linear and field-definable groups. In: Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 905-940. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0092-4 | deu |
| kops.citation.iso690 | ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2012. Definable groups as homomorphic images of semi-linear and field-definable groups. In: Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 905-940. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0092-4 | eng |
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| kops.sourcefield | Selecta Mathematica. Birkhäuser. 2012, <b>18</b>(4), pp. 905-940. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0092-4 | deu |
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