拟莫比乌斯映射与拟度量空间的连通性

数学物理学报 ›› 2019, Vol. 39 ›› Issue (5): 1001-1010.

拟莫比乌斯映射与拟度量空间的连通性

刘红军^1,*(),黄小军²()

¹ 贵州师范大学数学科学学院贵阳 550025
² 重庆大学数学与统计学院重庆 401331

收稿日期:2018-07-31 出版日期:2019-10-26 发布日期:2019-11-08
通讯作者: 刘红军 E-mail:hongjunliu@gznu.edu.cn;hxj@cqu.edu.cn
作者简介:黄小军, E-mail:hxj@cqu.edu.cn
基金资助:
国家自然科学基金(11671057);贵州师范大学博士科研启动基金(11904/0517078)

Quasimöbius Maps and the Connectedness Properties of Quasi-Metric Spaces

Hongjun Liu^1,*(),Xiaojun Huang²()

¹ School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025
² College of Mathematics and Statistics, Chongqing University, Chongqing 401331

Received:2018-07-31 Online:2019-10-26 Published:2019-11-08
Contact: Hongjun Liu E-mail:hongjunliu@gznu.edu.cn;hxj@cqu.edu.cn
Supported by:
the NSFC(11671057);the PhD research startup foundation of Guizhou Normal University(11904/0517078)

摘要/Abstract

摘要：

该文研究了拟度量空间的连通性质，证明了拟度量空间的连通性在拟莫比乌斯映射下仍然是保持不变的.

关键词: 拟莫比乌斯映射, 条件M(c), 线性局部连通, 拟度量空间

Abstract:

This paper is to investigate the connectedness properties of quasi-metric space, and show that connectedness properties of quasi-metric space are preserved under quasimöbius maps.

Key words: Quasimöbius maps, The condition M(c), Linearly local connectedness, Quasimetric spaces

中图分类号:

O174.55

刘红军,黄小军. 拟莫比乌斯映射与拟度量空间的连通性[J]. 数学物理学报, 2019, 39(5): 1001-1010.

Hongjun Liu,Xiaojun Huang. Quasimöbius Maps and the Connectedness Properties of Quasi-Metric Spaces[J]. Acta mathematica scientia,Series A, 2019, 39(5): 1001-1010.