| 一致连续映射的两个扩张定理 |
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| 引用本文： | 张广计. 一致连续映射的两个扩张定理[J]. 大学数学, 2013, 29(2): 56-58 |
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| 作者姓名： | 张广计 |
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| 作者单位： | 西北政法大学经管学院,陕西西安,710063 |
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| 摘 要： | 把文[1],[2]中的两个定理进行了拓广和改进,给出两个一致连续映射的扩张定理:(i)任一集合A到一个完备度量空间的一致连续映射可一致连续扩张到A珡上.(ii)任一闭集A到Rn的一致连续映射可一致连续扩张到A与任一紧集的并.
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| 关 键 词： | 一致连续映射 映射的扩张 紧集 Tietze扩张定理 |
The Theorems of Extension of Uniformly Continuous Mapping |
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| ZHANG Guang-ji. The Theorems of Extension of Uniformly Continuous Mapping[J]. College Mathematics, 2013, 29(2): 56-58 |
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| Authors: | ZHANG Guang-ji |
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| Affiliation: | ZHA NG Guang-ji (College of Economics and Trade, Northwest University of Politics and Law, Xian 710063, China) |
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| Abstract: | Abstract： Two theorems of the paper [1] and [2] are spread continuous mapping and uniformly continuous mapping are given： （i） a complete metric space can be uniformly continuously extended ton. set A into R^n can be uniformly continuously extended to the union of and improved, and two theorems of extension of A uniformly continuous mapping from a set A into （ii） A uniformly continuous mapping from a closed set A and any compact set. |
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| Keywords: | uniformly continuous mapping extension of mapping compact set Tietze extension theorem |
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