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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Connectedness properties of limit sets


Author: B. H. Bowditch
Journal: Trans. Amer. Math. Soc. 351 (1999), 3673-3686
MSC (1991): Primary 20F32
Published electronically: April 20, 1999
MathSciNet review: 1624089
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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.


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Additional Information

B. H. Bowditch
Affiliation: Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain
Email: bhb@maths.soton.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02388-0
Received by editor(s): August 22, 1997
Published electronically: April 20, 1999
Article copyright: © Copyright 1999 American Mathematical Society