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[1] 胡志娟 杨晓 金梦洁 刘磊磊 田志钢 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳

出　　处：《应用数学进展》2015年第2期209-216,共8页Advances in Applied Mathematics

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.

关 键 词：诱导拓扑 Erceg-Peng公理 U_r开映射 B_r闭映射 

分 类 号：O1[理学—数学]