引用本文: |
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孔庆钊,陈海燕,张夏苇,平萍.局部紧Lindelöf空间的序列覆盖映象[J].广西科学院学报,2006,22(1):11-13,17. [点击复制]
- KONG Qing-zhao,CHEN Hai-yan,ZHANG Xia-wei,PING Ping.The Sequence-Covering Mappings of Locally Compact Lindelöf Spaces[J].Journal of Guangxi Academy of Sciences,2006,22(1):11-13,17. [点击复制]
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摘要: |
利用特定的覆盖性质,借助序列覆盖映射,建立局部紧Lindelöf空间和cs覆盖、sn覆盖、cs*覆盖之间的联系,以及局部紧Lindelöf空间的序列覆盖映象特征,得到并深化局部紧Lindelöf空间的一些相应结果,完善了局部紧Lindelöf空间的映射理论. |
关键词: Lindelöf空间 序列覆盖映射 cs覆盖 sn覆盖 cs*覆盖 k系 |
DOI: |
投稿时间:2005-04-15 |
基金项目:广西大学科研基金(199802)资助项目 |
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The Sequence-Covering Mappings of Locally Compact Lindelöf Spaces |
KONG Qing-zhao1, CHEN Hai-yan1, ZHANG Xia-wei1, PING Ping2
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(1.Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;2.Department of Mathematics, East China Normal University, Shanghai, 200062, China) |
Abstract: |
The characteristics of mappings of locally compact Lindelöf spaces are established under some sequence-covering mappings by means of the concepts of cs-covers,sn-covers,cs*-covers,k system,respectively.Some corresponding results on locally compact Lindelöf spaces are improved. |
Key words: Lindelöf spaces sequence-covering mappings cs-covers sn-covers cs*-covers k system |