Definable group extensions in semi-bounded o-minimal structures

Edmundo, Mário; Eleftheriou, P. E.

http://hdl.handle.net/10400.2/2915

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Authors

Edmundo, Mário

Eleftheriou, P. E.

Abstract(s)

In this note we show: Let ℛ = 〈 R, <, +, 0,...〉 be a semi-bounded (respectively, linear) o-minimal expansion of an ordered group, and G a group definable in R of linear dimension m ([2]). Then G is a definable extension of a bounded (respectively, definably compact) definable group B by 〈 Rm, +〉.

Keywords

Group extensions O-minimal structures

URI

http://hdl.handle.net/10400.2/2915

Citation

Edmundo, Mário Jorge; Eleftheriou, P. E. - Definable group extensions in semi-bounded o-minimal structures. "Mathematical Logic Quarterly" [Em linha]. ISSN 0942-5616 (Print) 1521-3870 (Online). Vol. 55, Nº 6 (2009), p. 1-7