| 基—可数次亚紧空间 |
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| 引用本文： | 王宪,周兴,耿妮.基—可数次亚紧空间[J].四川理工学院学报(自然科学版),2012,25(6):86-88. |
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| 作者姓名： | 王宪 周兴 耿妮 |
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| 作者单位： | 成都理工大学管理科学学院,四川成都,610059 |
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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项目 |
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| 摘 要： | 引入了基-可数次亚紧空间,获得了如下主要结果:(1){Fi}i∈N是空间X的闭覆盖,每一闭集Fi(i∈N)是相对于X的基-可数次亚紧闭子空间,则X是基-可数次亚紧空间。(2)设f:X→Y是基-可数次亚紧映射,ω(X)≥ω(Y),如果Y是正则的基-可数次亚紧空间,那么X是基-可数次亚紧空间。
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| 关 键 词： | 基 基—可数次亚紧空间 基—可数次亚紧映射 |
Base-Countably Submetacompact Spaces |
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| WANG Xian,ZHOU Xing,GENG Ni.Base-Countably Submetacompact Spaces[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2012,25(6):86-88. |
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| Authors: | WANG Xian ZHOU Xing GENG Ni |
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| Institution: | (College of Management Science,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | The notion of base-countably submetacompact space is introduced and the following results are mainly proved:(1)If {Fi}i∈N is closed cover of X,and each Fi(i∈N) is a closed base-countably submetacompact subspace relative to X,then X is a base-countably submetacompact space;(2)Let Y be a base-countably submetacompact space and f:X→Y be a base-countably submetacompact mapping and ω(X)≥ω(Y),if Y is regular,then X is base-countably submetacompact space. |
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| Keywords: | base base-countably submetacompact spaces base-countably submetacompact mapping |
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