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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
陈鹏, 胡志娟, 杨晓, 金梦洁, 刘磊磊, 田志钢
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
《Advances in Applied Mathematics》, Vol.4 No.2, 2015-05-29
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.