L-proximities and totally bounded pointwise L-uniformities

被引：14
|
作者：
Shi, FG [1 ]
Zhang, J
Zheng, CY
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] N China Univ Technol, Coll Sci, Beijing 100041, Peoples R China
[3] Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2003年 / 133卷 / 03期
关键词：
L-topology; pointwise L-(quasi-)uniformity; L-(quasi-)proximity;
D O I：
10.1016/S0165-0114(02)00282-8
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we shall develop the study of connections between L-(quasi-)proximities in the sense of Katsaras-Liu-Artico-Moresco and pointwise L-(quasi-)uniformities in the sense of Shi. We shall prove that there exists a one-to-one correspondence between L-(quasi-)proximity spaces and totally bounded pointwise L-(quasi-)uniform spaces. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：321 / 331
页数：11
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