Definable quotients of locally definable groups

Eleftheriou, Pantelis E.; Peterzil, Ya'acov

Definable quotients of locally definable groups

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2012

Autor:innen

Eleftheriou, Pantelis E.

Peterzil, Ya'acov

DOI (zitierfähiger Link)

https://doi.org/10.1007/s00029-012-0091-5

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 885-903. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0091-5

Zusammenfassung

We study locally definable abelian groups U in various settings and examine conditions under which the quotient of U by a discrete subgroup might be definable. This turns out to be related to the existence of the type-definable subgroup U⁰⁰ and to the divisibility of U .

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

O-minimality, Locally definable groups, Definable quotients, Type-definable groups

Zitieren

ISO 690

ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2012. Definable quotients of locally definable groups. In: Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 885-903. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0091-5

BibTex

@article{Eleftheriou2012-12Defin-49645,
  year={2012},
  doi={10.1007/s00029-012-0091-5},
  title={Definable quotients of locally definable groups},
  number={4},
  volume={18},
  issn={1022-1824},
  journal={Selecta Mathematica},
  pages={885--903},
  author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov}
}

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