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.
出处
《佳木斯大学学报（自然科学版）》
CAS
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)
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
metric space
subsequence-covering mapping
quotient mapping
countable-to-one mapping
cs＊ network
