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
Official URL: http://blms.oxfordjournals.org/content/current
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.
|Uncontrolled Keywords:||o-Minimality, Definable Groups|
|Subjects:||Sciences > Mathematics > Logic, Symbolic and mathematical|
|Deposited On:||15 Feb 2012 12:32|
|Last Modified:||15 Feb 2012 12:32|
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