# Local simple connectedness of boundaries of hyperbolic groups

@article{Barrett2020LocalSC, title={Local simple connectedness of boundaries of hyperbolic groups}, author={Benjamin Barrett}, journal={arXiv: Geometric Topology}, year={2020} }

In this paper we prove a theorem describing the local topology of the boundary of a hyperbolic group in terms of its global topology: the boundary is locally simply connected if and only if the complement of any point in the boundary is simply connected. This generalises a theorem of Bestvina and Mess.

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