| 正规可数仿紧空间的逆极限 |
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| 引用本文： | 涂振坤,瞿娟.正规可数仿紧空间的逆极限[J].大学数学,2007,23(4):92-95. |
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| 作者姓名： | 涂振坤 瞿娟 |
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| 作者单位： | 合肥工业大学,理学院,合肥,230009 |
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| 摘 要： | 得到了如下结果:设X是逆系统{Xα,παβ,Λ}的逆极限,|Λ|=λ,假设每个映射πα∶X→Xα是开的且到上的,X是λ-仿紧,每个Xα是正规可数仿紧的,则X是正规可数仿紧的.进一步得到了关于遗传正规且遗传可数仿紧空间的类似结果.
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| 关 键 词： | 逆极限 可数仿紧 遗传可数仿紧 λ-仿紧 |
| 文章编号： | 1672-1454（2007）04-0092-04 |
| 修稿时间： | 2005-12-21 |
The Inverse Limits of Normal Countably Paracompact Spaces |
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| TU Zhen-kun,QU Juan.The Inverse Limits of Normal Countably Paracompact Spaces[J].College Mathematics,2007,23(4):92-95. |
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| Authors: | TU Zhen-kun QU Juan |
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| Institution: | School of Math, Hefei University of Technology, Hefei, Anhui 230009, China |
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| Abstract: | We prove the following: Let X be the limit of an inverse system {Xα,παβ,Λ} and λ the cardinal number of Λ.Suppose each projection πα:X→Xα is an open and onto map and X is λ-paracompact.If each Xα is a normal countably paracompact space,then X is a countably paracompact space.Moreover,we obtain the analogous result for hereditanily countably paracompact properties. |
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| Keywords: | inverse limits countably paracompact hereditarily countably paracompact 2-paracompact |
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