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Connectedness properties of limit sets
Author(s):
B.
H.
Bowditch
Journal:
Trans. Amer. Math. Soc.
351
(1999),
3673-3686.
MSC (1991):
Primary 20F32
Posted:
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.
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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:
10.1090/S0002-9947-99-02388-0
PII:
S 0002-9947(99)02388-0
Received by editor(s):
August 22, 1997
Posted:
April 20, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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