On paracompactness in cone metric spaces

被引：33
|
作者：
Sonmez, Ayse [1 ]
机构：
[1] Istanbul Univ, Istanbul, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 04期
关键词：
Compactness; Cone metric space; Paracompact space; PROOF;
D O I：
10.1016/j.aml.2009.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that any metric space is paracompact. As a generalization of metric spaces, cone metric spaces play very important role in fixed point theory, computer science, and some other research areas as well as in general topology. In this paper, a theorem which states that any cone metric space with a normal cone is paracompact is proved. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：494 / 497
页数：4
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