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October 2019 Local connectedness of the space of punctured torus group
Sungbok Hong, Jihoon Park
Osaka J. Math. 56(4): 727-737 (October 2019).

Abstract

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.

Citation

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Sungbok Hong. Jihoon Park. "Local connectedness of the space of punctured torus group." Osaka J. Math. 56 (4) 727 - 737, October 2019.

Information

Published: October 2019
First available in Project Euclid: 21 October 2019

zbMATH: 07144182
MathSciNet: MR4020634

Subjects:
Primary: 30F40
Secondary: 57M50

Rights: Copyright © 2019 Osaka University and Osaka City University, Departments of Mathematics

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Vol.56 • No. 4 • October 2019
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