摘要
本文分别给出局部可分度量空间的强序列覆盖(1序列覆盖,2序列覆盖)。映象的新刻画,还分别给出拓扑空间是局部可分度量空间的序列覆盖(紧覆盖)s映象的一个充分条件.
This paper gives some new characterizations of images of locally separable metric spaces under strong sequence-covering (resp. 1-sequence-covering or 2-sequence covering)s-mappings, and a sufficient condition for a space to be a sequence-covering (resp. compact-covering) s-image of a locally separable metric space.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2000年第4期757-762,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金!19971048
关键词
序列覆盖映射
s映射
CS网
局部可分度量空间
Sequence covering mappings
s-mappings
cs-networks
Sequential-neighborhood networks, Sequential-open networks