局部可分度量空间的序列覆盖紧映像  

On sequence-covering compact images of locally separable metric space

作　　者：吕诚[1] 孙秀华[1] 

机构地区：[1]安徽建筑工业学院数理系,安徽合肥230022

出　　处：《合肥工业大学学报（自然科学版）》2008年第9期1525-1527,1531,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽建筑工业学院硕博科研基金资助项目(2005110120);(2006070115)

摘　　要：该文借助点星网和具有不同性质的覆盖列来探讨局部可分度量空间中的各类序列覆盖紧映像,并得出了局部可分度量空间的序列覆盖紧映像、1-序列覆盖紧映像和2-序列覆盖紧映像的内在刻画,从而使得关于度量空间的紧映像的内在刻画更加趋于完善。In this paper, some sequence-covering compact images of locally separable metric space are investigated by using point-star networks and covers with peculiar property, and the sequence-covering compact images, 1-sequence-covering compact images, 2-sequence-covering compact images of locally separable metric space are characterized, thus making the study of compact images of metric space more complete.

关 键 词：局部可分 序列覆盖映射 紧映射 点星网 

分 类 号：O189.1[理学—数学]