Lattices in locally definable subgroups of hRn; Ci

Pantelis E. Eleftheriou; Ya'acov Peterzil

doi:10.1215/00294527-2143889

Lattices in locally definable subgroups of hRn; Ci

Pantelis E. Eleftheriou
, Ya'acov Peterzil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

LetM 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 hRn; Ci contains a definable generic set and therefore admits a lattice.

Original language	English
Pages (from-to)	449-461
Number of pages	13
Journal	Notre Dame Journal of Formal Logic
Volume	54
Issue number	3-4
DOIs	https://doi.org/10.1215/00294527-2143889
State	Published - 2013

Keywords

Generic sets
Lattices
Locally definable groups
O-minimality

ASJC Scopus subject areas

Logic

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10.1215/00294527-2143889

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title = "Lattices in locally definable subgroups of hRn; Ci",

abstract = "LetM 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 hRn; Ci contains a definable generic set and therefore admits a lattice.",

keywords = "Generic sets, Lattices, Locally definable groups, O-minimality",

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publisher = "Duke University Press",

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T1 - Lattices in locally definable subgroups of hRn; Ci

AU - Eleftheriou, Pantelis E.

AU - Peterzil, Ya'acov

PY - 2013

Y1 - 2013

N2 - LetM 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 hRn; Ci contains a definable generic set and therefore admits a lattice.

AB - LetM 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 hRn; Ci contains a definable generic set and therefore admits a lattice.

KW - Generic sets

KW - Lattices

KW - Locally definable groups

KW - O-minimality

UR - https://www.scopus.com/pages/publications/84885055099

U2 - 10.1215/00294527-2143889

DO - 10.1215/00294527-2143889

M3 - Article

AN - SCOPUS:84885055099

SN - 0029-4527

VL - 54

SP - 449

EP - 461

JO - Notre Dame Journal of Formal Logic

JF - Notre Dame Journal of Formal Logic

IS - 3-4

ER -

Lattices in locally definable subgroups of hRn; Ci

Abstract

Keywords

ASJC Scopus subject areas

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