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Topology of definable abelian groups in o-minimal structures

Authors
  • Baro, Elias
  • Berarducci, Alessandro
Type
Preprint
Publication Date
Feb 12, 2011
Submission Date
Feb 12, 2011
Identifiers
DOI: 10.1112/blms/bdr108
Source
arXiv
License
Yellow
External links

Abstract

In this note we show that every definably connected, definably compact abelian definable group in an o-minimal expansion of a real closed field of dimension not 4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semialgebraic case the result holds for all dimensions.

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