| 有关一致空间完备性证明的修正 |
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| 引用本文： | 沈晨,金贵荣. 有关一致空间完备性证明的修正[J]. 高等数学研究, 2010, 13(4): 102-103 |
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| 作者姓名： | 沈晨 金贵荣 |
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| 作者单位： | 中国石油大学数学与计算科学学院,山东东营257061 |
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| 摘 要： | 设μ为集X的最大一致结构，对于一致空间（X，μ）的完备性，指出有关文献中的证明存在疏漏，并直接运用一致空间完备性的定义给出相关结论的证明．
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| 关 键 词： | 一致空间 Cauchy网 完备性 |
Note on the Proof of Completeness for Uniform Space |
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| SHEN Chen,JIN Gui Rong. Note on the Proof of Completeness for Uniform Space[J]. Studies In College Mathematics, 2010, 13(4): 102-103 |
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| Authors: | SHEN Chen JIN Gui Rong |
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| Affiliation: | (School of Mathematics and Computational Science, China University o{ Petroleum, Dongying, Shandong, 257061, PRC) |
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| Abstract: | Let μ be the largest possible uniformity for a set X, an oversight in the proof of the completeness for the uniform space （X,μ） is pointed out. With the definition of completeness for the uniform space, the corresponding conclusion is proved directly. |
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| Keywords: | uniform space Cauchy net completeness. |
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