| 基-可数亚紧空间 |
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| 引用本文： | 唐永帅,高绍娟,康素玲.基-可数亚紧空间[J].四川理工学院学报(自然科学版),2011,24(4):399-401. |
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| 作者姓名： | 唐永帅 高绍娟 康素玲 |
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| 作者单位： | 1. 成都理工大学应用数学系,成都,610059
2. 合肥学院数学与物理系,合肥,230601 |
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| 基金项目： | 安徽省高等学校省级优秀青年人才基金资助项目 |
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| 摘 要： | 文章引入了基-可数亚紧空间,获得了如下主要结果:(1){Fi}i∈N是空间X的点有限闭覆盖,每一闭集Fi(i∈N)是相对于X的基-可数亚紧闭子空间,则X是基-可数亚紧空间。(2)设f:X→Y是基-可数亚紧映射,ω(X)≥ω(Y),如果Y是正则的基-可数亚紧空间,那么X是基-可数亚紧空间。
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| 关 键 词： | 基 点有限 基-可数亚紧空间 基-可数亚紧映射 |
Base-Countably Metacompact Spaces |
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| TANG Yong-shuai,GAO Shao-juan,KANG Su-ling.Base-Countably Metacompact Spaces[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(4):399-401. |
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| Authors: | TANG Yong-shuai GAO Shao-juan KANG Su-ling |
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| Institution: | 1.Department of Applied Mathematics,Chengdu University of Technology,Chengdu 610059,China;2.Department of Mathematics and Physics,Hefei University,Hefei 230601,China) |
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| Abstract: | The notion of base-countably metacompact space is introduced and the following results are mainly proved：（i） If {Fi}i∈N is a point finite closed cover of X,and each Fi（i∈N） is a closed base-countably metacompact subspace relative to X,then X is a base-countably metacompact space.（ii） Let Y be a base-countably space and f：X→Y be a base-countably metacompact mapping and ω（X）≥ω（Y）,if Y is regular then X is base-countably metacompact. |
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| Keywords: | base point finite base-countably metacompact spaces base-countably metacompact mapping |
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