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Connectedness properties of limit sets |
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| Authors: | B H Bowditch |
| Institution: | Faculty of Mathematical Studies, University of Southampton, Highfield, Southampton SO17 1BJ, Great Britain |
| 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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