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.
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
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
locally separable metric space
sequentially quotient mapping
sequentially covering mapping
π-mapping
sieve
cs-sieve
cs*-sieve.
