摘要
文章主要是通过有限有向加细的概念给出局部紧度量空间的序列商π象的一个刻画,说明一个空间是局部紧度量空间的序列商(序列覆盖)π象当且仅当此空间具有紧集构成的有限有向加细cs*(cs)覆盖的点星网{Pn}
This paper mainly discusses characterizations of sequentially quotient and the sequentially covering π images of locally compact metric spaces in the notion of finite-directed refinement. A space X is a sequentially quotation (the sequentially covering) n image locally-compact metric spaces if and only if X has a point-star network which cs covering of finite-directed refinement made of compact sets.
出处
《安徽教育学院学报》
2007年第3期6-8,共3页
Journal of Anhui Institute of Education
基金
安徽省教育厅青年教师资助项目(2006jq1191)
关键词
有限有向加细
序列商映射
序列覆盖映射
Π映射
cs*覆盖
点星网
finite-directed refinement
sequentially quotient mapping
sequentially covering mapping
π mapping
cs, covering: point-star network