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 |
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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)