Topology of definable abelian groups in o-minimal structures
Logic
2014-02-26 v1
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.
Keywords
Cite
@article{arxiv.1102.2494,
title = {Topology of definable abelian groups in o-minimal structures},
author = {Elias Baro and Alessandro Berarducci},
journal= {arXiv preprint arXiv:1102.2494},
year = {2014}
}
Comments
7 pages