| 从拓扑的观点看有限覆盖定理 |
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| 引用本文： | 雷超.从拓扑的观点看有限覆盖定理[J].菏泽学院学报,2009,31(2). |
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| 作者姓名： | 雷超 |
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| 作者单位： | 天津工程师范学院理学院,天津,300222 |
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| 摘 要： | 从拓扑学观点出发,在理论上推导出了有限覆盖定理,在此基础上,给出加强型的有限覆盖定理.文章分成三个部分:第一部分介绍拓扑学相关方面的知识;第二部分介绍Rn上的定理与结论;最后一部分介绍通常的有限覆盖定理及加强型的有限覆盖定理.
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| 关 键 词： | 拓扑空间 有限覆盖 数 |
To Investigate the Covering Theorem from Topological Viewpoint |
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| LEI Chao.To Investigate the Covering Theorem from Topological Viewpoint[J].Journal of Heze University,2009,31(2). |
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| Authors: | LEI Chao |
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| Institution: | Department of Mathematics and Science;Tianjin University of Technology and Education;Tianjin 300222;China |
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| Abstract: | The article sets off from topological viewpoint,inferring out the covering theorem in theory.On this basis,the article gives the fortified covering theorem.The article can be divided into three parts;the first part introduces relevant aspect knowledge of topology.Part II introduces the theorems and conclusions on Rn.The final part of the article introduces the general limited covering theorem and the fortified covering theorem. |
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| Keywords: | topological space limited covering the lebesgue number |
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