Invariance results for definable extensions of groups

Edmundo, Mário; Jones, G. O.; Peatfield, N. J.

http://hdl.handle.net/10400.2/2909

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Authors

Edmundo, Mário

Jones, G. O.

Peatfield, N. J.

Abstract(s)

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

Definable groups O-minimal structures

URI

http://hdl.handle.net/10400.2/2909

Citation

Edmundo, Mário; Jones, G. O.; Peatfield, N. J. - Invariance results for definable extensions of groups. "Archive for Mathematical Logic" [Em linha]. ISSN 0933-5846. Vol. 50, nº 1-2 (2011), p. 1-15