Local connectedness of the space of punctured torus group

Sungbok Hong, Jihoon Park

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)727-737
Number of pages11
JournalOsaka Journal of Mathematics
Volume56
Issue number4
Publication statusPublished - 2019 Oct

Bibliographical note

Funding Information:
2010 Mathematics Subject Classification. Primary 30F40; Secondary 57M50. Partially supported by BK 21plus program through the NRF funded by the ministry of education of Korea.

Publisher Copyright:
© 2019, Osaka University. All rights reserved.

ASJC Scopus subject areas

  • General Mathematics

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