| 某些局部紧型空间的性质 |
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| 引用本文： | 王影,周景新.某些局部紧型空间的性质[J].四川理工学院学报(自然科学版),2008,21(1):16-18,21. |
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| 作者姓名： | 王影 周景新 |
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| 作者单位： | 北华大学数学学院,吉林,132013 |
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| 基金项目： | 吉林省高校科技与社科科研规划项目吉教科字专项 |
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| 摘 要： | 文章给出了几种类型局部可数紧空间和几种类型局部可数仿紧空间的概念,讨论了它们的一些性质,给出可数仿紧空间的每一闭子集都是可数仿紧的;若拓扑空间X是邻域开包局部可数仿紧空间,A是X中任一开集,则A是邻域开包局部可数仿紧子空间等一些有益的结果。
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| 关 键 词： | 局部可数紧 局部可数邻域紧 局部可数仿紧 局部可数邻域仿紧 |
| 文章编号： | 1673-1549（2008）01-016-03 |
| 收稿时间： | 2007-06-04 |
| 修稿时间： | 2007年6月4日 |
Some Nature of locally Countable Compact and locally Paracompact Space |
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| WANG Ying,ZHONG Jing-xing.Some Nature of locally Countable Compact and locally Paracompact Space[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2008,21(1):16-18,21. |
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| Authors: | WANG Ying ZHONG Jing-xing |
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| Abstract: | We give some concepts of different locally countable compact space and locally countable paracompact space,discuss their natures,and give some results as every closed subset in countable paracompact space is countable paracompact ;If topological space is a neighborhood open locally countable paracompact space, is any open set of, then is a neighborhood open locally countable paracompact subspace. |
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| Keywords: | locally countable compact locally countable neighborhood compact locally countable paracompact locally countable neighborhood paracompact |
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