摘 要:
借助弱紧k网络,获得了局部紧度量空间闭映象内部特征一个新的刻画,即空间X是局部紧度量空间的闭映象当且仅当X是具有点可数的弱紧k网络的Fr chet空间.[著者文摘]

文章出处:
《长沙交通学院学报》-2007年23卷3期 -75-77页
Journal of Changsha Communications University
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1000-9779(2007)03-0075-03
[参考文献]
Closed images of locally compact metric spaces
LI Zhao-wen , LI Xiao-min (College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, China)
Abstract:
In this paper, a space with a closed image of a locally compact metric space is obtained if and only if it is a Frechet space with a point-countable weak-compact k-network, it is a new characterization of closed images with locally compact metric spaces by means of weak-compact k-networks.[著者文摘]
Key words:
locally compact metric spaces; closed images; k-networks; weak-compact k-networks
收稿日期: 2007-03-26
基金资助:
湖南省自然科学基金资助项目(06JJ20046)

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