| 格L中点式拟度量的研究 |
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| 引用本文： | 陈鹏,郭飞飞.格L中点式拟度量的研究[J].首都师范大学学报(自然科学版),2014,35(5):5-9,18. |
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| 作者姓名： | 陈鹏 郭飞飞 |
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| 作者单位： | 1. 河南科技大学数学与统计学院,河南洛阳471023;北京工业大学应用数理学院,北京100124
2. 河南科技大学数学与统计学院,河南洛阳,471023 |
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| 基金项目： | 河南科技大学博士启动基金，河南科技大学博士创新能力培育基金 |
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| 摘 要： | 本文证明了在格L中点式拟度量中分别借助远域和邻域能够刻画两种不同拓扑,并进一步证明了该度量须满足连续性公理的条件时这两种拓扑等价.最后借助一个给定的点式拟度量能构造出一个新的Erceg-Peng度量且对相关的性质进行了讨论.
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| 关 键 词： | 点式拟度量 Dr映射 D-r映射 Ur映射 |
Research of Pointwise Quasi-metric in L Lattice |
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| Chen Peng
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Guo Feifei.Research of Pointwise Quasi-metric in L Lattice[J].Journal of Capital Normal University(Natural Science Edition),2014,35(5):5-9,18. |
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| Authors: | Chen Peng Guo Feifei |
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| Institution: | Chen Peng,Guo Feifei( 1.School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023 ;2.College of Applied Sciences, Beijing University of Technology, Beijing 100124) |
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| Abstract: | In this paper,we show that two kinds of different topologies are respectively charactered by far fields and neighborhood fields in pointwise quasi-metric on L lattice,and further prove that if the measure still satisfies the continous law,then these two kinds of topologies are equivalent.At last,according to a pointwise quasi-metric given,we can construct a new Erceg-Peng metric and discuss some their related properties. |
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| Keywords: | Pointwise quasi-metric Dr mapping D-r mapping Ur mapping |
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