AAM  >> Vol. 4 No. 2 (May 2015)

    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

  • 全文下载: PDF(387KB) HTML   XML   PP.209-216   DOI: 10.12677/AAM.2015.42026  
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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。

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. Erceg伪度量连续性公理及其基本球的关系的研究[J]. 应用数学进展, 2015, 4(2): 209-216. http://dx.doi.org/10.12677/AAM.2015.42026

参考文献

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