Bowditch, B.H. (1999) Connectedness properties of limit sets. Transactions of the American Mathematical Society, 351 (9), 3673-3686.
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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