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Topology of definable abelian groups in o-minimal structures

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Baro González, Elías y 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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URL Oficial: http://blms.oxfordjournals.org/content/current



Resumen

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.


Tipo de documento:Artículo
Palabras clave:o-Minimality, Definable Groups
Materias:Ciencias > Matemáticas > Lógica simbólica y matemática
Código ID:14565
Depositado:15 Feb 2012 11:32
Última Modificación:06 Feb 2014 10:04

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