度量空间的子序列覆盖可数到一映像  

The Subsequence-covering Countable-to-one Images of Metric Spaces

作　　者：孙秀华[1] 吕诚[1] 

机构地区：[1]安徽建筑大学数理系,安徽合肥230022

出　　处：《佳木斯大学学报（自然科学版）》2013年第3期446-447,450,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：安徽省自然基金项目资助(KJ2011z057)

摘　　要：通过推广■0弱基,得到■0-cs*网,并借助这一概念刻画了度量空间的子序列覆盖可数到一映像,同时还得到了度量空间商映像的一个新的等价刻画,拓展了研究度量空间可数到一映像的方法.The concept of 0 - cs ＊ networks was introduced by generalizing the definition of 0 weak bases. Based on this concept, images of metric spaces under subsequence - covering countable - to - one map- pings were characterized. Meanwhile, a new characterization of quotient countable - to - one images of metric spaces was obtained. Thus some methods on countable - to - one images of metric spaces are expanded.

关 键 词：度量空间 子序列覆盖映射 商映射 可数到一映射 cs＊网 

分 类 号：O189.1[理学—数学]