陈鹏,史福贵.关于Erceg伪度量与点式伪度量的一点注记[J].数学研究及应用,2008,28(2):439~443 |
关于Erceg伪度量与点式伪度量的一点注记 |
A Note on Erceg's Pseudo-Metric and Pointwise Pseudo-Metric |
投稿时间:2006-04-07 修订日期:2006-08-28 |
DOI:10.3770/j.issn:1000-341X.2008.02.027 |
中文关键词: 格上拓扑 Erceg伪度量 点式伪度量 Q-$C_I$. |
英文关键词:topology on lattice Erceg's metric pointwise metric Q-$C_I$. |
基金项目:国家自然科学基金(No.10731079). |
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中文摘要: |
文[13]曾证明Erceg伪度量与史福贵提出的点式伪度量等价.本文指出[13]中的定理1是错误的,进而指出Erceg伪度量与点式伪度量是不等价的. |
英文摘要: |
In [6], it is proved that Erceg's pseudo-metric and pointwise pseudo-metric presented by Shi are equivalent. In this paper, it is proved that Theorem 1 in [6] is wrong. Further it is proved that Erceg's pseudo-metric and pointwise pseudo-metric are not equivalent in the sense of topology. |
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