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Invariance results for definable extensions of groups

By Mário Jorge Edmundo, G. O. Jones and N. J. Peatfield

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.FCT (Funda ção para a Ciência e Tecnologia) program POCI 2010 (Portugal/FEDER-EU) and FCT (Funda ção para a Ciência e Tecnologia) project PTDC/MAT/101740/2008;NSER

Topics: Definable groups, O-minimal structures
Publisher: 'Springer Science and Business Media LLC'
Year: 2011
OAI identifier: oai:repositorioaberto.uab.pt:10400.2/2909
Journal:

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