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Topology of definable abelian groups in o-minimal structures

By Elías Baro González and Alessandro Berarducci

Abstract

In this note, we prove that every definably connected, definably compact abelian definable group G in an o-minimal expansion of a real closed field with dim(G)≠4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semialgebraic case the result holds for all dimensions

Topics: Lógica simbólica y matemática
Publisher: London Mathematical Society
Year: 2011
DOI identifier: 10.1112/blms
OAI identifier: oai:www.ucm.es:14565
Provided by: EPrints Complutense

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