Definable group extensions in semi‐bounded o‐minimal structures |
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Authors: | Mário J Edmundo Pantelis E Eleftheriou |
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Institution: | CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649‐003 Lisboa, Portugal |
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Abstract: | 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, +〉 (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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Keywords: | O‐minimal structures group extensions |
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