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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.

Copyright American Mathematical Society 1996

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Article Info

• ERA Amer. Math. Soc. 02 (1996), pp. 98-100
• Publisher Identifier: S 1079-6762(96)00013-3
• 1991 Mathematics Subject Classification. Primary 20F32; Secondary 20J05, 57M40
• Key words and phrases. Gromov hyperbolic group, Gromov boundary, cut point, local connectedness, dendrite, R-tree
• Received by the editors June 4, 1996
• Communicated by Walter Neumann
• Comments (When Available)

G. A. Swarup

The University of Melbourne, Parkville, 3052, Victoria, Australia

E-mail address: gadde@maths.mu.oz.au

Dedicated to John Stallings on his 60th birthday