| 伪度量族与一致结构格集的关系及格集之并的性质 |
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| 引用本文： | 沈晨.伪度量族与一致结构格集的关系及格集之并的性质[J].广西科学,2010,17(2):105-107. |
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| 作者姓名： | 沈晨 |
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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： | 给出非空集X的伪度量族P为格集的一个充分必要条件,构造使P不为格集的反例,并讨论由格集之并所生成的一致结构的性质.
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| 关 键 词： | 伪度量族 格集 一致结构 |
| 收稿时间： | 2009/10/23 0:00:00 |
| 修稿时间： | 2009/12/12 0:00:00 |
Relations between Family of Pseudo-metrics and Gage of Uniformity and Properties on Union of Gages |
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| SHEN Chen.Relations between Family of Pseudo-metrics and Gage of Uniformity and Properties on Union of Gages[J].Guangxi Sciences,2010,17(2):105-107. |
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| Authors: | SHEN Chen |
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| Institution: | SHEN Chen(College of Mathematics and Computational Science in China University of Petroleum,Dongying,Shandong,257061,China) |
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| Abstract: | The necessary and sufficient condition for a family P of pseudo-metrics for non-empty set X to be a gage is given,some counterexamples for P not to be a gage are constructed,and the property of uniformity generated by union of gages is discussed. |
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| Keywords: | family of pseudo-metrics gage uniformity |
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