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Preprint Number 426

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426. Pantelis Eleftheriou and Ya'acov Peterzil
Lattices in locally definable gorups of (R^n,+)
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Submission date: 28 February 2012.


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^n, +) contains a definable generic set and therefore admits a lattice.

Mathematics Subject Classification: 03C64, 03C68, 22B99

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