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Lattices in Locally Definable Subgroups of $langleR^{n},+rangle$
Notre Dame Journal of Formal Logic 54 (3-4):449-461 (2013)
Abstract
Let $\mathcal{M}$ 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 $\langle R^{n},+\rangle$ contains a definable generic set and therefore admits a latticeLinks
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Citations of this work
Locally definable subgroups of semialgebraic groups.Elías Baro, Pantelis E. Eleftheriou & Ya’Acov Peterzil - 2019 - Journal of Mathematical Logic 20 (2):2050009.
References found in this work
Definable homomorphisms of abelian groups in o-minimal structures.Ya'acov Peterzil & Sergei Starchenko - 1999 - Annals of Pure and Applied Logic 101 (1):1-27.
Locally definable homotopy.Elías Baro & Margarita Otero - 2010 - Annals of Pure and Applied Logic 161 (4):488-503.
Locally definable homotopy.Elías Baro & Marg\ Otero - 2010 - Annals of Pure and Applied Logic 161 (4):488-503.
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