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arXiv:2004.11650 [math.GT]AbstractReferencesReviewsResources

Local simple connectedness of boundaries of hyperbolic groups

Benjamin Barrett

Published 2020-04-24Version 1

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.

Comments: 22 pages
Categories: math.GT, math.GR
Subjects: 20F67, 54F35, 20F65, 57M07
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