Definably extending partial orders in totally ordered structures

被引：2
|
作者：
Ramakrishnan, Janak [1 ]
Steinhorn, Charles [2 ]
机构：
[1] Google Inc, New York, NY 10011 USA
[2] Vassar Coll, Dept Math, Poughkeepsie, NY 12604 USA
来源：
MATHEMATICAL LOGIC QUARTERLY | 2014年 / 60卷 / 03期
关键词：
O-MINIMAL STRUCTURES;
D O I：
10.1002/malq.201300047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show, for various classes of totally ordered structures M=(M,<,...), including o-minimal and weakly o-minimal structures, that every definable partial order on a subset of Mn extends definably inM to a total order. This extends the result proved in for n=1 and M o-minimal. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：205 / 210
页数：6
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