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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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