Urysohn closedness on completely distributive lattices

被引：4
|
作者：
Fang, JM [1 ]
Yue, YL [1 ]
机构：
[1] Ocean Univ Qingdao, Dept Appl Math, Qingdao 266003, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2004年 / 144卷 / 03期
关键词：
co-topology; Urysohn closedness; Heyting algebra; topological molecular lattice; L-Urysohn closedness;
D O I：
10.1016/j.fss.2003.08.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The purpose of this paper is to investigate the Urysohn closedness of co-topology on lattices which are not required to have an order-reversing involution. The concept of Urysohn closedness on lattices is introduced and characterizations of Urysohn closedness are given in terms of ideals and nets. These characterizations are obtained mainly through the introduction of a kind of convergence for ideals and nets that we call L-Urysohn convergence. (C) 2003 Elsevier B.V. All rights reserved.
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页码：367 / 381
页数：15
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