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.
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.
出处
《长沙交通学院学报》
2007年第3期75-77,共3页
Journal of Changsha Communications University
基金
湖南省自然科学基金资助项目(06JJ20046)
关键词
局部紧度量空间
闭映射
k网络
弱紧k网络
locally compact metric spaces
closed images
k-networks
weak-compact k-networks
