摘要
本文利用特定的覆盖性质,建立了仿紧局部紧空间的序列覆盖L-映象和紧覆盖L-映象的特征,得到或深化了局部紧度量空间的一些相应结果.
in this paper we establish the characterizations of images of paracompact locally compact spaces under some sequence-covering L-mappings and compact-covering quotient Lmappings by means of the concepts of cs-covers, cs*-covers, sn-covers and k-systems, respectively, and improve some corresponding results on locally compact metric spaces.
出处
《数学进展》
CSCD
北大核心
2000年第5期457-463,共7页
Advances in Mathematics(China)
基金
国家自然科学基金!资助项目(No.19971048)
关键词
序列覆盖映射
L-映射
S-映射
S-映射
CS覆盖
SN覆盖
仿紧局部紧空间
sequence-covering mappings
compact-covering mappings
L-mappings
quotient mappings
s- mappings (ss- mappings )
cs- covers
cs * - covers
s sn- covers
k- systems