局部可分度量空间的π映象  

The π Images of Locally Separable Metric Spaces

作　　者：杨海蓉[1] 

机构地区：[1]安徽大学数学与计算科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2005年第1期28-31,共4页Journal of Hefei University :Natural Sciences

摘　　要：利用筛的概念给出了局部可分度量空间的序列商象及序列覆盖π象的内在刻画,证明了空间是X局部可分度量空间的序列商(序列覆盖)π象当且仅当具X有可数纤维的cs* (cs)筛构成的点星网。To give characterizations of the sequentially quotient,π-images and the sequentially covering, π-images of locally separable metric spaces in the notion of sieve and the following has.That a space X is a sequentially quotient(sequentially covering) π-images locally separable metric spaces if and only if X has a point-star network which has a countable thread.

关 键 词：局部可分度量空间 序列商映射 序列覆盖映射 Π映射 筛 cs筛 cs^＊筛 

分 类 号：O189.1[理学—数学]