Connectedness properties of limit sets

Bowditch, B.

doi:10.1090/S0002-9947-99-02388-0

Connectedness properties of limit sets
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by B. H. Bowditch PDF

Trans. Amer. Math. Soc. 351 (1999), 3673-3686 Request permission

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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