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Preprint Number 17
297. Elias Baro and Alessandro Berarducci
Topology of definable abelian groups in o-minimal structures
Submission date: 16 February 2011.
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.
Mathematics Subject Classification: 03C64
Keywords and phrases: o-minimality, definable groups
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