D-Lindelof空间  

Some Results on D-Lindelof Spaces

作　　者：任亮英[1] 周丽[1] 刘宛昀[1] 

机构地区：[1]成都理工大学信息管理学院

出　　处：《佳木斯大学学报（自然科学版）》2010年第4期602-603,607,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：引入了D-Lindelof空间的概念,并得到如下结果：（1）D-Lindelof空间的闭子空间和可数并是D-Lindelof;（2）如果X=Y∪Z,其中Y是D-Lindelof空间,Y是X中的闭集,Z中每一闭于X的集合是D-Lindelof空间,则X是D-Lindelof;（3）D-Lindelof空间的完备逆像空间和在连续闭映射下的像空间是D-Lindelof.In this paper,the D-Lindelof spaces was introduced,and the following results were obtained： The closed subspaces and countable union of D-Lindelof spaces are D-Lindelof spaces; If X = Y ∪ Z ,where Y is a D-Lindelof space and Y is closed in X and every subspace of Z in X is a D-Lindelof space; Perfect inverse images and closed images of D-Lindelof spaces are D-Lindelof spaces.

关 键 词：D-空间 LINDELOF空间 D-Lindelof.空间 

分 类 号：O189[理学—数学]