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 language | English |
|---|---|
| Pages (from-to) | 727-737 |
| Number of pages | 11 |
| Journal | Osaka Journal of Mathematics |
| Volume | 56 |
| Issue number | 4 |
| Publication status | Published - 2019 Oct |
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Hong, S., & Park, J. (2019). Local connectedness of the space of punctured torus group. Osaka Journal of Mathematics, 56(4), 727-737.