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.

引用

页码：1809 / 1819

页数：11

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