Corpus ID: 216144537

Local simple connectedness of boundaries of hyperbolic groups

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