A Note on Erceg＇s Pseudo-Metric and Pointwise Pseudo-Metric  

作　　者：CHEN Peng SHI Fu Gui 

机构地区：[1]Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第2期439-443,共5页数学研究与评论（英文版）

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.

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.

关 键 词：topology on lattice Erceg＇s metric pointwise metric Q-C1. 

分 类 号：O189.13[理学—数学]