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Connectedness properties of limit sets

Connectedness properties of limit sets
Connectedness properties of limit sets
We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic fixed point. We apply this result to the case of boundaries of relatively hyperbolic groups, and consider implications for connectedness properties of such spaces.
0002-9947
3673-3686
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9
Bowditch, B.H.
8f3cf0c9-0a10-4b70-8648-33fb2ade7ac9

Bowditch, B.H. (1999) Connectedness properties of limit sets. Transactions of the American Mathematical Society, 351 (9), 3673-3686.

Record type: Article

Abstract

We study convergence group actions on continua, and give a criterion which ensures that every global cut point is a parabolic fixed point. We apply this result to the case of boundaries of relatively hyperbolic groups, and consider implications for connectedness properties of such spaces.

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Published date: 1999

Identifiers

Local EPrints ID: 29765
URI: http://eprints.soton.ac.uk/id/eprint/29765
ISSN: 0002-9947
PURE UUID: 52100ac8-b033-45a3-bfbe-de1398b871b4

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Date deposited: 27 Jul 2006
Last modified: 15 Jul 2019 19:08

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Contributors

Author: B.H. Bowditch

University divisions

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