Topology of definable abelian groups in o-minimal structures
  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. 
Elias Baro and Alessandro Berarducci
math.LO