| D-Lindelof空间 |
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| 引用本文： | 任亮英,周丽,刘宛昀.D-Lindelof空间[J].佳木斯工学院学报,2010(4):602-603,607. |
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| 作者姓名： | 任亮英 周丽 刘宛昀 |
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| 作者单位： | 成都理工大学信息管理学院,四川成都610059 |
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| 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.
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| 关 键 词： | D-空间 Lindelof空间 D-Lindelof.空间 |
Some Results on D-Lindelof Spaces |
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| Authors: | REN Liang-ying ZHOU Li LIU Wan-yun |
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| Affiliation: | ( College of Information Management,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | 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. |
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| Keywords: | D space Lindelof space D-Lindelof space |
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