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.
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.
基金
Foundation item： the National Natural Science Foundation of China （No. 10371079）.
Acknowledgements The authors would like to thank the referees for their valuable comments and suggestions.
关键词
度量方法
计算方法
数学理论
等式
topology on lattice
Erceg＇s metric
pointwise metric
Q-C1.
