Erceg伪度量连续性公理及其基本球的关系的研究
The Researches of the Continuous Axiom of Erceg’s Pseudo-Metric and the Relationships between Its Basic Spheres
DOI: 10.12677/AAM.2015.42026, PDF, HTML, XML, 下载: 2,610  浏览: 7,186 
作者: 陈 鹏, 胡志娟, 杨 晓, 金梦洁, 刘磊磊, 田志钢：河南科技大学数学与统计学院，河南 洛阳
关键词: 诱导拓扑；Erceg-Peng公理；Ur开映射；Br闭映射；Induced Topology； Erceg-Peng’s Axiom； Ur Open Mapping； Br Closed Mapping
摘要: 该文通过对Erceg-Peng公理与经典度量公理进行比较，证明了它的诱导拓扑与Erceg-Peng度量公理的连续性条件没有本质的联系，并且还进一步给出Erceg-Peng的一些基本球之间的一些相互关系。
Abstract: In this paper, by comparing the axioms of Erceg-Peng metric and classical metric, we have proved that there is no intrinsic relationship between the topology induced by Erceg metric and the con-tinuous condition in its axioms, and further given some relationships of several types of basic spheres in Erceg-Peng’s pseudo-metric.
文章引用：陈鹏, 胡志娟, 杨晓, 金梦洁, 刘磊磊, 田志钢. Erceg伪度量连续性公理及其基本球的关系的研究[J]. 应用数学进展, 2015, 4(2): 209-216. http://dx.doi.org/10.12677/AAM.2015.42026

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