| 可数aD-空间的研究 |
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| 引用本文： | 刘宛昀,王璐,任亮英.可数aD-空间的研究[J].太原师范学院学报(自然科学版),2011,10(1):72-74. |
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| 作者姓名： | 刘宛昀 王璐 任亮英 |
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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： | 文章继续研究了可数aD-空间的一些拓扑性质,获得了如下结果:可数aD-空间在连续闭映射下的象空间是可数aD-空间;可数aD-空间的覆盖性质;T1的Lindeloff空间X是一个Metalindeloff空间和一个可数aD-空间的并,则X是可数aD-空间.
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| 关 键 词： | 可数aD-空间 连续闭映射 象空间 Metalindeloff空间 |
The Study of the Countable-aD-Spaces |
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| Liu Wanyun,Wang Lu,Ren Liangying.The Study of the Countable-aD-Spaces[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(1):72-74. |
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| Authors: | Liu Wanyun Wang Lu Ren Liangying |
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| Institution: | Liu Wanyun Wang Lu Ren Liangying(College of Information Management,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | We continue to study the topological properties of countable-aD-spaces and obtained the following results:the image spaces of countable-aD-spaces under continuous closed mapping is a countable-aD-spaces;the covering properties of countable-aD-spaces;if the Lindeloff and T1 space X is the union of a Metalindeloff spaces and a countable-aD-spaces,then X is a countable-aD-spaces. |
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| Keywords: | countable-aD-spaces continuous closed mapping image space Metalindeloff spaces |
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