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One-dimensional groups over an o-minimal structure

✍ Scribed by Vladimir Razenj

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 555 KB
Volume: 53
Category: Article
ISSN: 0168-0072
DOI: 10.1016/0168-0072(91)90024-g

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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