Connectedness properties of limit sets-Reference-Cited by-同舟云学术

Connectedness properties of limit sets

Published:1999-04-20 Issue:9 Volume:351 Page:3673-3686
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bowditch B.

Abstract

We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic fixed point. We apply this result to the case of boundaries of relatively hyperbolic groups, and consider implications for connectedness properties of such spaces.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-09/S0002-9947-99-02388-0/S0002-9947-99-02388-0.pdf

Reference29 articles.

1. An example of a finitely presented solvable group;Abels, Herbert,1979

2. On the local connectivity of limit set of Kleinian groups;Anderson, James W.;Complex Variables Theory Appl.,1996

3. Bounding the complexity of simplicial group actions on trees;Bestvina, Mladen;Invent. Math.,1991

4. A combination theorem for negatively curved groups;Bestvina, M.;J. Differential Geom.,1992

5. Stable actions of groups on real trees;Bestvina, Mladen;Invent. Math.,1995

Cited by 39 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Local connectedness of boundaries for relatively hyperbolic groups;Journal of Topology;2024-06

2. Maps between relatively hyperbolic spaces and between their boundaries;Transactions of the American Mathematical Society;2023-10-19

3. On canonical splittings of relatively hyperbolic groups;Israel Journal of Mathematics;2023-03-13

4. Right-angled Coxeter groups with non-planar boundary;Groups, Geometry, and Dynamics;2023-01-27

5. Remarks on the end-topology of some discrete groups;AIMS Mathematics;2023