DEFINABLE LINEAR ORDERS DEFINABLY EMBED INTO LEXICOGRAPHIC ORDERS IN O-MINIMAL STRUCTURES

被引：0
|
作者：
Ramakrishnan, Janak [1 ]
机构：
[1] Univ Lisbon, CMAF, P-1649003 Lisbon, Portugal
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 05期
关键词：
FIELD;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify definable linear orders in o-minimal structures expanding groups. For example, let (P, (sic)) be a linear order definable in the real field. Then (P, (sic)) embeds definably in (Rn+1, <(lex)), where <(lex) is the lexicographic order and n is the o-minimal dimension of P. This improves a result of Onshuus and Steinhorn in the o-minimal group context.
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页码：1809 / 1819
页数：11
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