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On the cut point conjecture
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On the cut point conjecture
G. A. Swarup
Abstract.
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
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