The Researches of the Continuous Axiom of Erceg’s Pseudo-Metric and the Relationships between Its Basic Spheres

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.