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Topology of definable abelian groups in o-minimal structures

Baro González, Elías and Berarducci, Alessandro (2011) Topology of definable abelian groups in o-minimal structures. Bulletin of the London Mathematical Society . pp. 1-7. ISSN 1469-2120

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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.

Item Type:Article
Uncontrolled Keywords:o-Minimality, Definable Groups
Subjects:Sciences > Mathematics > Logic, Symbolic and mathematical
ID Code:14565
Deposited On:15 Feb 2012 11:32
Last Modified:06 Feb 2014 10:04

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