锥度量空间的完备性

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 565-572.

锥度量空间的完备性

Department of Mathematics and Information Science, Zhangzhou Normal University

收稿日期:2012-03-14 出版日期:2013-12-30 发布日期:2023-02-17
作者简介:LI Ke-dian(1956-), male, native of Zhecheng, Henan, a professor of Zhangzhou Normal Univer- sity, engages in general topology.
基金资助:
Supported by the National Natural Science Foundation of China(10971185,10971186)； Supported by the Research Fund for Higher Education of Fujian Province(JK2011031)

The Completeness of Cone Metric Spaces

Department of Mathematics and Information Science, Zhangzhou Normal University

Received:2012-03-14 Online:2013-12-30 Published:2023-02-17
About author:LI Ke-dian(1956-), male, native of Zhecheng, Henan, a professor of Zhangzhou Normal Univer- sity, engages in general topology.
Supported by:
Supported by the National Natural Science Foundation of China(10971185,10971186)； Supported by the Research Fund for Higher Education of Fujian Province(JK2011031)

摘要/Abstract

摘要： Some topological properties of cone metric spaces are discussed and proved that every cone metric space (X; d) is complete if and only if every family of closed subsets of X which has the finite intersection property and which for every c ∈ E; 0 《 c contains a set of diameter less that c has non-empty intersection.

关键词: compactness, completeness, cauchy sequence, cone metric space

Abstract: Some topological properties of cone metric spaces are discussed and proved that every cone metric space (X; d) is complete if and only if every family of closed subsets of X which has the finite intersection property and which for every c ∈ E; 0 《 c contains a set of diameter less that c has non-empty intersection.

Key words: compactness, completeness, cauchy sequence, cone metric space

中图分类号:

O189.1

李克典. 锥度量空间的完备性[J]. 数学季刊, 2013, 28(4): 565-572.

LI Ke- dian. The Completeness of Cone Metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 565-572.

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