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LOCAL CONNECTEDNESS OF THE SPACE OF PUNCTURED TORUS GROUP
- Authors
- Hong, Sungbok; Park, Jihoon
- Issue Date
- 10월-2019
- Publisher
- OSAKA JOURNAL OF MATHEMATICS
- Citation
- OSAKA JOURNAL OF MATHEMATICS, v.56, no.4, pp.727 - 737
- Indexed
- SCIE
SCOPUS
- Journal Title
- OSAKA JOURNAL OF MATHEMATICS
- Volume
- 56
- Number
- 4
- Start Page
- 727
- End Page
- 737
- ISSN
- 0030-6126
- 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.
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