| 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. |
| 关键词: 伪度量族 格集 一致结构 |
| DOI： |
| 投稿时间：2009-10-23修订日期：2009-12-12 |
| 基金项目: |
|
| Relations between Family of Pseudo-metrics and Gage of Uniformity and Properties on Union of Gages |
|
SHEN Chen
|
| (College of Mathematics and Computational Science in China University of Petroleum, Dongying, Shandong, 257061, China) |
| 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. |
| Key words: family of pseudo-metrics gage uniformity |
