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

基金：

中国国家自然科学基金;

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.

引用

页码：321 / 331

页数：11