| 无穷个紧致空间的乘积仍然是紧致空间──超限归纳法的一个应用 |
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| 引用本文： | 麦结华.无穷个紧致空间的乘积仍然是紧致空间──超限归纳法的一个应用[J].广西民族大学学报,1994(2). |
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| 作者姓名： | 麦结华 |
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| 作者单位： | 广西大学数学研究所 |
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| 摘 要： | 任意个紧致空间的乘积（用积拓扑）仍然是紧致空间，这是个拓朴学上已知的定理．本文使用超限归纳法给出了这个重要的定理的一个较简单且较易于记忆的证明．
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| 关 键 词： | 积空间，积拓扑，紧致空间，良序集，超限归纳法． |
The Product of Infinitely Compact Spaces Are Still Compact an Application of the Transfinite Induction |
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| Mai Jie-Hua.The Product of Infinitely Compact Spaces Are Still Compact an Application of the Transfinite Induction[J].Journal of Guangxi University For Nationalities(Natural Science Edition),1994(2). |
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| Authors: | Mai Jie-Hua |
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| Institution: | Institute of Mathematics. Guangxi University. Nanning 530004 |
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| Abstract: | The product space(with the product topology) of any family of compact spaces iscompact. This is a well known theorem in topology. In this paper. applying the transfinite induction. we give a sinmpler proof of this important theorem which can be relative easily remembered. |
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| Keywords: | product space product topology compact space wellordered set transfinite induction |
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