Lattices in Locally Definable Subgroups of ⟨R<sup>n</sup>,+⟩
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| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Eleftheriou, Pantelis E.; Peterzil, Ya'acov |
| Year of publication: | 2013 |
| Published in: | Notre Dame Journal of Formal Logic ; 54 (2013), 3-4. - pp. 449-461. - Duke University Press. - ISSN 0029-4527. - eISSN 0029-4527 |
| DOI (citable link): | https://dx.doi.org/10.1215/00294527-2143889 |
| Summary: |
Let M be an o-minimal expansion of a real closed field R. We define the notion of a lattice in a locally definable group and then prove that every connected, definably generated subgroup of ⟨Rn,+⟩ contains a definable generic set and therefore admits a lattice.
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| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
| Refereed: | Yes |
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ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2013. Lattices in Locally Definable Subgroups of ⟨Rn,+⟩. In: Notre Dame Journal of Formal Logic. Duke University Press. 54(3-4), pp. 449-461. ISSN 0029-4527. eISSN 0029-4527. Available under: doi: 10.1215/00294527-2143889
@article{Eleftheriou2013Latti-49653, title={Lattices in Locally Definable Subgroups of ⟨Rn,+⟩}, year={2013}, doi={10.1215/00294527-2143889}, number={3-4}, volume={54}, issn={0029-4527}, journal={Notre Dame Journal of Formal Logic}, pages={449--461}, author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov} }
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