Local simple connectedness of boundaries of hyperbolic groups
Geometric Topology
2020-04-29 v2 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2004.11650,
title = {Local simple connectedness of boundaries of hyperbolic groups},
author = {Benjamin Barrett},
journal= {arXiv preprint arXiv:2004.11650},
year = {2020}
}
Comments
22 pages. The second version clarifies the statement of theorem 1.2 and answers part of question 6.1