| 基-可次数仿紧空间 |
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| 引用本文： | 周兴,王宪,孙文.基-可次数仿紧空间[J].四川理工学院学报(自然科学版),2013,26(2):98-100. |
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| 作者姓名： | 周兴 王宪 孙文 |
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| 作者单位： | 成都理工大学管理科学学院,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： | 文章研究基-可数次仿紧空间,得出:①如果{Fi}i∈N是空间X的一个δ-离散闭覆盖,对于任意一个相对于X的闭集Fi(i∈N)是闭的基-可数次仿紧子空间,则称X是基-可数次仿紧空间;②令g:X→Y是基-可数次仿紧的一个映射,ω(X)≥ω(Y),若Y是基-可数次仿紧空间并且是正则的,则X是基-可数次仿紧空间。将拓扑空间的仿紧性质的一个结果推广到拓扑空间的次仿紧性质领域,使得关于拓扑空间的次仿紧性质应用起来更方便,该结果使得次仿紧性质和仿紧性质之间的关系更加清楚。
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| 关 键 词： | 闭空间 基-可数次仿紧映射 δ-离散空间 基 基-可数次仿紧空间 |
Base-countably Subparacompact Spaces |
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| ZHOU Xing
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WANG Xian
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SUN Wen.Base-countably Subparacompact Spaces[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2013,26(2):98-100. |
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| Authors: | ZHOU Xing WANG Xian SUN Wen |
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| Institution: | (School of Management Science,Chengdu University of Technology,Chengdu 610059,China) |
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| Abstract: | The notion of base-countably subparacompact space is introduced and the following results are proved: ① If {Fi}i∈N is δ-discreteclosed cover of X,and each Fi(i∈N)is a closed base-countably subparacompact subspace relative to X,then X is a base-countably subparacompact space.②Let g: X→Y be a base-countably subparacompact mapping and ω(X)≥ω(Y) and Y be a base-countably subparacompact space and if Y is regular then X is base-countably subparacompact space.A result of the paracompactness of topology space is generalized to the subparacompactness of topology space,making the subparacompactness of topology space applicable more conveniently.The result makes the relation between paracompactness and subparacompactness clearer. |
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| Keywords: | closed space base-countably subparacompact mapping δ-discretespaces base base-countably subparacompact spaces |
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