摘要
借用序列的cs网构造适当的Ponomarev系以研究局部可分度量空间的映像,给出了局部可分度量空间的强序列覆盖cs映像和局部可分度量空间的商强序列覆盖cs映像的内在刻画,同时还将得到拓扑空间是局部可分度量空间强序列覆盖cs映像的一个较为简洁方便的充分条件.
The images of locally separable metric spaces are discussed by using CS networks of a convergent sequence and ＂Ponomarev system＂. This paper gives the characterizations of images of locally separable metric spaces under strong sequence-covering CS mappings and quotient strong sequence-covering CS mappings. Meanwhile, the sufficient condition for a space to be a strong sequence--covering CS image of a locally separable metric space is obtained.
出处
《佳木斯大学学报（自然科学版）》
CAS
2010年第2期300-301,321,共3页
Journal of Jiamusi University：Natural Science Edition
基金
安徽建筑工业学院硕博科研基金项目资助(2006070115)
关键词
度量空间
局部可分
强序列覆盖映射
CS映射
商映射
CS网
metric spaces
locally separable
strong sequence--covering mappings
CS mappings
quotient mappings
CS networks
