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2013 Lattices in Locally Definable Subgroups of Rn,+
Pantelis E. Eleftheriou, Ya’acov Peterzil
Notre Dame J. Formal Logic 54(3-4): 449-461 (2013). DOI: 10.1215/00294527-2143889

Abstract

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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Pantelis E. Eleftheriou. Ya’acov Peterzil. "Lattices in Locally Definable Subgroups of Rn,+." Notre Dame J. Formal Logic 54 (3-4) 449 - 461, 2013. https://doi.org/10.1215/00294527-2143889

Information

Published: 2013
First available in Project Euclid: 9 August 2013

zbMATH: 1345.03072
MathSciNet: MR3091665
Digital Object Identifier: 10.1215/00294527-2143889

Subjects:
Primary: 03C64
Secondary: 03C68, 22B99

Rights: Copyright © 2013 University of Notre Dame

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Vol.54 • No. 3-4 • 2013
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