| 波莱尔有限覆盖思想研究 |
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| 引用本文： | 王全来,曹术存.波莱尔有限覆盖思想研究[J].曲阜师范大学学报,2009,35(1):124-128. |
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| 作者姓名： | 王全来 曹术存 |
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| 作者单位： | 王全来,WANG Quan-lai(天津师范大学计算机与信息工程学院,300387,天津市);曹术存,CAO Shu-cun(重庆大学数理学院统计与精算系,400044,重庆市)
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| 基金项目： | 国家自然科学基金，天津师范大学博士基金 |
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| 摘 要： | 基于原始文献，利用历史分析和比较的方法，深入探讨了波莱尔有限覆盖思想的思想背景、思想方法和重要影响．从历史角度考察了魏尔斯特拉斯、庞斯列等人的有限覆盖思想，分析了波莱尔的有限覆盖思想在集合紧致理论中的重要意义．
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| 关 键 词： | 波莱尔 有限覆盖定理 紧致集 解析开拓 |
The Research on Borel's Finite Set Covering Thoughts |
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| WANG Quan-lai,CAO Shu-cun.The Research on Borel''s Finite Set Covering Thoughts[J].Journal of Qufu Normal University(Natural Science),2009,35(1):124-128. |
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| Authors: | WANG Quan-lai CAO Shu-cun |
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| Institution: | WANG Quan-lai, CAO Shu-cun (1. College Of Computer and Information Engineering, Tianjin Normal University ,300387, Tianjin; 2.College Of Science, Chongqing University ,400044, Chongqing, PRC ) |
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| Abstract: | This paper discusses Borel's work relating to finite set covering theorem on the basis of historical analysis and literature reviewing.It analyzes the background,the method and the significance of his idea.It shows K.Weierstrass and S.Pincherle's thoughts about finite set covering theorem. |
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| Keywords: | Emile Borel finite set covering theorem compact set analytic extension |
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