标题:
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
关键字:
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
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.2, 2015-05-29
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。
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.