Lattices in Locally Definable Subgroups of ⟨Rn,+⟩

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.
Subject (DDC): 510 Mathematics
Refereed: Yes

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

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} }

terms-of-use Eleftheriou, Pantelis E. Peterzil, Ya'acov Peterzil, Ya'acov 2013 Eleftheriou, Pantelis E. 2020-05-27T07:08:14Z eng Lattices in Locally Definable Subgroups of ⟨R<sup>n</sup>,+⟩ 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. 2020-05-27T07:08:14Z

This item appears in the following Collection(s)

Search KOPS


Browse

My Account