Connectedness properties of limit sets
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- by B. H. Bowditch
- Trans. Amer. Math. Soc. 351 (1999), 3673-3686
- DOI: https://doi.org/10.1090/S0002-9947-99-02388-0
- Published electronically: April 20, 1999
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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.References
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Bibliographic Information
- B. H. Bowditch
- Affiliation: Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain
- Email: bhb@maths.soton.ac.uk
- Received by editor(s): August 22, 1997
- Published electronically: April 20, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 3673-3686
- MSC (1991): Primary 20F32
- DOI: https://doi.org/10.1090/S0002-9947-99-02388-0
- MathSciNet review: 1624089