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

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 (2015) Erceg伪度量连续性公理及其基本球的关系的研究。 应用数学进展, 4, 209-216. doi: 10.12677/AAM.2015.42026

参考文献

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