穿孔环面群空间的局部连通性

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI:10.18910/73625

Sungbok Hong, Jihoon Park

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引用次数: 0

摘要

利用Bromgerg局部坐标系给出了Kleinian穿孔环面群空间局部连通的一个必要条件，并在该必要条件的密集子集上给出了局部连通的一个充分条件。即被刺穿环面群空间边界不局部连通的点的集合是满足必要条件的点的密集子集。

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Local connectedness of the space of punctured torus group

We will give a necessary condition for local connectedness of the space of Kleinian punctured torus group using Bromgerg’s local coordinate system and provide a sufficient condition for local connectedness on a dense subset of the necessary condition. That is, the collection of the points where the boundary of the space of punctured torus group is not locally connected is a dense subset of the points satisfying the necessary condition.

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.