Definable group extensions in semi-bounded o-minimal structures

Type of Publication: Journal article
Publication status: Published
Author: Edmundo, Mário J.; Eleftheriou, Pantelis E.
Year of publication: 2009
Published in: Mathematical Logic Quarterly ; 55 (2009), 6. - pp. 598-604. - Wiley. - ISSN 0942-5616. - eISSN 1521-3870
DOI (citable link): https://dx.doi.org/10.1002/malq.200910027
Summary:
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 , +〉
Subject (DDC): 510 Mathematics
Refereed: Yes

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EDMUNDO, Mário J., Pantelis E. ELEFTHERIOU, 2009. Definable group extensions in semi-bounded o-minimal structures. In: Mathematical Logic Quarterly. Wiley. 55(6), pp. 598-604. ISSN 0942-5616. eISSN 1521-3870. Available under: doi: 10.1002/malq.200910027

@article{Edmundo2009-12Defin-49648, title={Definable group extensions in semi-bounded o-minimal structures}, year={2009}, doi={10.1002/malq.200910027}, number={6}, volume={55}, issn={0942-5616}, journal={Mathematical Logic Quarterly}, pages={598--604}, author={Edmundo, Mário J. and Eleftheriou, Pantelis E.} }

eng 2020-05-26T12:40:25Z 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 〈R<sup>m</sup> , +〉 Edmundo, Mário J. Eleftheriou, Pantelis E. Definable group extensions in semi-bounded o-minimal structures Eleftheriou, Pantelis E. terms-of-use 2009-12 2020-05-26T12:40:25Z Edmundo, Mário J.

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