局部可分度量空间的序列商s映象  

On the sequentially quotient,s-images of locally separable metric spaces

作　　者：葛志宏[1] 

机构地区：[1]南通师范学院数学系,江苏南通226007

出　　处：《苏州大学学报（自然科学版）》2002年第2期14-17,共4页Journal of Soochow University(Natural Science Edition)

基　　金：.NULL.

摘　　要：给出了局部可分度量空间的序列商s映象的一些内部刻画,作为它的一个应用,得到了空间X是局部可分度量空间的序列商s映象当且仅当X是局部可分度量空间的伪序列覆盖s映象,当且仅当X是局部可分度量空间的子序列覆盖s映象.此外,还给出了与局部可分度量空间的序列商s映象相关的一些条件.<Abstrcat>This paper gives a characterizations of images of locally separable metric spaces under sequentially quotient,smappings.As an application of this result,we obtain that a space X is a sequentially quotient,simage of a locally separable metric space if and only if X is a pseudosequencecovering,simage of a locally separable metric space,if and only if X is a subsequencecovering,simage of a locally separable metric space.Also some conditions that relate to sequentially quotient,simages of a locally separable metric spaces are given.

关 键 词：局部可分度量空间 序列商映射 s映射 CS网 cs＊网 伪序列覆盖映射 子序列覆盖映射 

分 类 号：O189.11[理学—数学]