Publikation: Lattices in Locally Definable Subgroups of ⟨Rn,+⟩
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2013
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Peterzil, Ya'acov
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Notre Dame Journal of Formal Logic. Duke University Press. 2013, 54(3-4), pp. 449-461. ISSN 0029-4527. eISSN 0029-4527. Available under: doi: 10.1215/00294527-2143889
Zusammenfassung
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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ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2013. Lattices in Locally Definable Subgroups of ⟨Rn,+⟩. In: Notre Dame Journal of Formal Logic. Duke University Press. 2013, 54(3-4), pp. 449-461. ISSN 0029-4527. eISSN 0029-4527. Available under: doi: 10.1215/00294527-2143889BibTex
@article{Eleftheriou2013Latti-49653,
year={2013},
doi={10.1215/00294527-2143889},
title={Lattices in Locally Definable Subgroups of ⟨R<sup>n</sup>,+⟩},
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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<dcterms:abstract xml:lang="eng">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 ⟨R<sup>n</sup>,+⟩ contains a definable generic set and therefore admits a lattice.</dcterms:abstract>
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