| A Note on Erceg's Pseudo-Metric and Pointwise Pseudo-Metric |
| Received:April 07, 2006 Revised:August 28, 2006 |
| Key Words:
topology on lattice Erceg's metric pointwise metric Q-$C_I$.
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| Fund Project:the National Natural Science Foundation of China (No.10371079). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.02.027 |
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