Publikation:

Definable groups as homomorphic images of semi-linear and field-definable groups

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2012

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Peterzil, Ya'acov

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https://doi.org/10.1007/s00029-012-0092-4
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Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 905-940. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0092-4

Zusammenfassung

We analyze definably compact groups in o-minimal expansions of ordered groups as a combination of semi-linear groups and groups definable in o-minimal expansions of real closed fields. The analysis involves structure theorems about their locally definable covers. As a corollary, we prove the compact domination conjecture in o-minimal expansions of ordered groups.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

O-minimality, Semi-bounded structure, Locally definable groups, Definable quotients, Type-definable groups

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ISO 690ELEFTHERIOU, Pantelis E., Ya'acov PETERZIL, 2012. Definable groups as homomorphic images of semi-linear and field-definable groups. In: Selecta Mathematica. Birkhäuser. 2012, 18(4), pp. 905-940. ISSN 1022-1824. eISSN 1420-9020. Available under: doi: 10.1007/s00029-012-0092-4
BibTex
@article{Eleftheriou2012-12Defin-49658,
  year={2012},
  doi={10.1007/s00029-012-0092-4},
  title={Definable groups as homomorphic images of semi-linear and field-definable groups},
  number={4},
  volume={18},
  issn={1022-1824},
  journal={Selecta Mathematica},
  pages={905--940},
  author={Eleftheriou, Pantelis E. and Peterzil, Ya'acov}
}
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