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On the cut point conjecture. (English) Zbl 0868.20032
Summary: We sketch a proof of the fact that the Gromov boundary of a hyperbolic group does not have a global cut point if it is connected. This implies, by a theorem of Bestvina and Mess, that the boundary is locally connected if it is connected.

MSC:
20F65 Geometric group theory
57M40 Characterizations of the Euclidean \(3\)-space and the \(3\)-sphere (MSC2010)
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
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