Regular relations and monotone normal ordered spaces

被引：2
|
作者：
Xu, XQ [1 ]
Liu, YM
机构：
[1] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China
[2] Jiangxi Normal Univ, Dept Math, Nanchang 330027, Peoples R China
[3] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2004年 / 25卷 / 02期
关键词：
regular relation; complete distributivity; monotone normality;
D O I：
10.1142/S0252959904000160
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the classical theorem of Zareckii about regular relations is generalized and an intrinsic characterization of regularity is obtained. Based on the generalized Zareckii theorem and the intrinsic characterization of regularity, the authors give a characterization of monotone normality of ordered spaces. A new proof of the Urysohn-Nachbin lemma is presented which is quite different from the classical one.
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页码：157 / 164
页数：8
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