穿孔环面群空间的局部连通性

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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