Type of Publication: | Journal article |
Publication status: | Published |
Author: | Eleftheriou, Pantelis E.; Peterzil, Ya'acov |
Year of publication: | 2012 |
Published in: | Selecta Mathematica ; 18 (2012), 4. - pp. 885-903. - Birkhäuser. - ISSN 1022-1824. - eISSN 1420-9020 |
DOI (citable link): | https://dx.doi.org/10.1007/s00029-012-0091-5 |
Summary: |
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 .
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Subject (DDC): | 510 Mathematics |
Keywords: | O-minimality, Locally definable groups, Definable quotients, Type-definable groups |
Refereed: | Yes |
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ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2012. Definable quotients of locally definable groups. In: Selecta Mathematica. Birkhäuser. 18(4), pp. 885-903. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0091-5
@article{Eleftheriou2012-12Defin-49645, title={Definable quotients of locally definable groups}, year={2012}, doi={10.1007/s00029-012-0091-5}, number={4}, volume={18}, issn={1022-1824}, journal={Selecta Mathematica}, pages={885--903}, author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov} }