Non-standard lattices and o-minimal groups
| dc.contributor.author | Eleftheriou, Pantelis E. | |
| dc.date.accessioned | 2020-05-26T12:34:40Z | |
| dc.date.available | 2020-05-26T12:34:40Z | |
| dc.date.issued | 2013 | eng |
| dc.description.abstract | We describe a recent program from the study of definable groups in certain o-minimal structures. A central notion of this program is that of a (geometric) lattice. We propose a definition of a lattice in an arbitrary first-order structure. We then use it to describe, uniformly, various structure theorems for o-minimal groups, each time recovering a lattice that captures some significant invariant of the group at hand. The analysis first goes through a local level, where a pertinent notion of pregeometry and generic elements is each time introduced. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.2178/bsl.1901020 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/49647 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
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| dc.subject.ddc | 510 | eng |
| dc.title | Non-standard lattices and o-minimal groups | eng |
| dc.type | JOURNAL_ARTICLE | eng |
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| kops.citation.bibtex | @article{Eleftheriou2013Nonst-49647,
year={2013},
doi={10.2178/bsl.1901020},
title={Non-standard lattices and o-minimal groups},
url={https://www.jstor.org/stable/41825306},
number={1},
volume={19},
issn={1079-8986},
journal={The Bulletin of Symbolic Logic},
pages={56--76},
author={Eleftheriou, Pantelis E.}
} | |
| kops.citation.iso690 | ELEFTHERIOU, Pantelis E., 2013. Non-standard lattices and o-minimal groups. In: The Bulletin of Symbolic Logic. Association for Symbolic Logic. 2013, 19(1), pp. 56-76. ISSN 1079-8986. eISSN 1943-5894. Available under: doi: 10.2178/bsl.1901020 | deu |
| kops.citation.iso690 | ELEFTHERIOU, Pantelis E., 2013. Non-standard lattices and o-minimal groups. In: The Bulletin of Symbolic Logic. Association for Symbolic Logic. 2013, 19(1), pp. 56-76. ISSN 1079-8986. eISSN 1943-5894. Available under: doi: 10.2178/bsl.1901020 | eng |
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| kops.sourcefield | The Bulletin of Symbolic Logic. Association for Symbolic Logic. 2013, <b>19</b>(1), pp. 56-76. ISSN 1079-8986. eISSN 1943-5894. Available under: doi: 10.2178/bsl.1901020 | deu |
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| kops.sourcefield.plain | The Bulletin of Symbolic Logic. Association for Symbolic Logic. 2013, 19(1), pp. 56-76. ISSN 1079-8986. eISSN 1943-5894. Available under: doi: 10.2178/bsl.1901020 | eng |
| kops.url | https://www.jstor.org/stable/41825306 | eng |
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