Connectedness properties of limit sets

Author:
B. H. Bowditch

Journal:
Trans. Amer. Math. Soc. **351** (1999), 3673-3686

MSC (1991):
Primary 20F32

DOI:
https://doi.org/10.1090/S0002-9947-99-02388-0

Published electronically:
April 20, 1999

MathSciNet review:
1624089

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://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