Archive for Mathematical Logic 50 (1-2):19-31 (2011)

Authors
Gareth Jones
Oxford Brookes University
Abstract
We show that in an o-minimal expansion of an ordered group finite definable extensions of a definable group which is defined in a reduct are already defined in the reduct. A similar result is proved for finite topological extensions of definable groups defined in o-minimal expansions of the ordered set of real numbers
Keywords O-minimal structures  Definable groups
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DOI 10.1007/s00153-010-0196-5
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References found in this work BETA

Type-Definability, Compact Lie Groups, and o-Minimality.Anand Pillay - 2004 - Journal of Mathematical Logic 4 (02):147-162.
Definably Compact Abelian Groups.Mário J. Edmundo & Margarita Otero - 2004 - Journal of Mathematical Logic 4 (02):163-180.

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