| 关于组合拓扑中Ramsey定理的简练描述 |
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| 引用本文： | 马文斌,刘媛媛,杨彩琴.关于组合拓扑中Ramsey定理的简练描述[J].内蒙古农业大学学报(自然科学版),2008,29(2). |
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| 作者姓名： | 马文斌 刘媛媛 杨彩琴 |
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| 作者单位： | 内蒙古农业大学理学院,呼和浩特,010018 |
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| 摘 要： | 本文首先介绍了组合理论的一些基本概念和性质,然后证明了几个经典简练的Ramsey定理.Ramsey定理被认为是优美的组合理论的基础,并且其在Banach空间理论中有广泛的影响.
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| 关 键 词： | 自然数的无穷子集 接受 拒绝 完备Ramsey族 Baize性质 |
ON THE RAMSEY' S THEOREM OF COMBINATORIAL TOPOLOGY |
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| MA Wen-bin,LIU Yuan-yuan,YAN Cai-qin.ON THE RAMSEY' S THEOREM OF COMBINATORIAL TOPOLOGY[J].Journal of Inner Mongolia Agricultural University(Natural Science Edition),2008,29(2). |
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| Authors: | MA Wen-bin LIU Yuan-yuan YAN Cai-qin |
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| Institution: | MA Wen-bin,LIU Yuan-yuan,YAN Cai-qin(College of Science,Inner Mongolia Agricultural University,Huhhot 010018,China) |
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| Abstract: | First of all,introducing some concepts and characters of combinatorial theory,finally proving several classical formulations of Ramsey's theorems in the article.The elegant combinatorial principle known as Ramsey's theorem has had a strong impact on the theory of Banach spaces. |
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| Keywords: | The Collection of Infinite Subsets of Natural Numbers Acceptance Rejection Completely Ramsey Collection Baire Property |
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