| 局部紧 Lindel(o)f空间的映象 |
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| 引用本文： | 孔庆钊,陈海燕,张夏苇,郑顶伟.局部紧 Lindel(o)f空间的映象[J].纯粹数学与应用数学,2007,23(3):381-387. |
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| 作者姓名： | 孔庆钊 陈海燕 张夏苇 郑顶伟 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021;广西大学数学与信息科学学院,广西,南宁,530004;厦门理工学院数理系,福建,厦门,361005 |
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| 摘 要： | 主要借助于紧覆盖映射、闭映射和商映射讨论了局部紧Lindel(o)f空间的像空间,推导出具有某些特定性质的k系空间的一些刻画,引入强k系的概念给出了局部紧Lindel(o)f空间和仿紧局部紧空间的一种新的等价刻画.
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| 关 键 词： | 紧覆盖映射 闭映射 商映射 k系 强k系 |
| 文章编号： | 1008-5513（2007）03-0381-07 |
| 修稿时间： | 2005-10-12 |
On the images of locally compact Lindel(o)f spaces |
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| KONG Qingzhao,CHEN Haiyan,ZHANG Xiawei,ZHENG Dingwei.On the images of locally compact Lindel(o)f spaces[J].Pure and Applied Mathematics,2007,23(3):381-387. |
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| Authors: | KONG Qingzhao CHEN Haiyan ZHANG Xiawei ZHENG Dingwei |
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| Institution: | 1. College of Sciences, Jimei University, Xiamen 361021,China 2. College of Mathematics and Information Science, Guangxi University, Nanning 530004,China; 3. Department of Mathematics and Sciences, Xiamen University of Technology,Xiamen 361005,China |
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| Abstract: | Some discussions on images of locally compact Lindelof spaces are presented by means of compact covering mappings, closed mappings, and quotient mappings, and some characterizations are given to the spaces with a kind of spaces with k system. In particular,it shows that several new necessary and sufficient conditions of locally compact Lindelof spaces and paracompat locally compat spaces can be proved in terms of giving the concept of strong k system. |
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| Keywords: | compact covering mapping closed mapping quotient mapping k system strong k system |
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