Partial quasi-metrics

被引：81
作者：
Kuenzi, H. -P. A. [1 ]
Pajoohesh, H.
Schellekens, M. P.
机构：
[1] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa
[2] Ctr Efficiency Oriented Languages, Cork, Ireland
[3] Natl Univ Ireland Univ Coll Cork, Dept Comp Sci, Cork, Ireland
来源：
THEORETICAL COMPUTER SCIENCE | 2006年 / 365卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
partial quasi-metric; partial metric; quasi-metric; weight; quasi-nonn; completion; BCK-algebra; bicompletion;
D O I：
10.1016/j.tcs.2006.07.050
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general setting. In particular, we consider the bicompletion of the quasi-metric space that is associated with a partial quasi-metric space and study its applications in groups and BCK-algebras. (C) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码：237 / 246
页数：10
相关论文
共 22 条
[1]  
[Anonymous], APPL GEN TOPOL, DOI 10.4995/agt.2002.2116
[2]  
DICONCILIO A, 1971, REND ACAD SCI FIS MA, V38, P113
[3]   Approximation of metric spaces by partial metric spaces [J].
Heckmann, R .
APPLIED CATEGORICAL STRUCTURES, 1999, 7 (1-2) :71-83
[4]  
Iseki K., 1978, Mathematica Japonica, V23, P1
[5]   LENGTHS ON SEMIGROUPS AND GROUPS [J].
KOPPERMAN, R .
SEMIGROUP FORUM, 1982, 25 (3-4) :345-360
[6]  
Kopperman R., 2004, APPL GEN TOPOL, V5, P115, DOI [10.4995/agt.2004.2000, DOI 10.4995/AGT.2004.2000]
[7]  
Kopperman R. D., 2004, 19 SUMM C TOP ITS AP
[8]   Nontransitive quasi-uniformities in the Pervin quasi- proximity class [J].
Künzi, HPA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (12) :3725-3730
[9]  
KUNZI HPA, 1994, ANN NY ACAD SCI, V728, P64
[10]   UNIFORM SEMIGROUPS [J].
MARXEN, D .
MATHEMATISCHE ANNALEN, 1973, 202 (01) :27-36
123