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CANNON–THURSTON MAPS DO NOT ALWAYS EXIST

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  11 September 2013

O. BAKER  and
T. R. RILEY
O. BAKER
Affiliation:
Department of Mathematics & Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, L8S 4K1, Canada
T. R. RILEY
Affiliation:
Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, NY 14853, [email protected]

Abstract

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We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.

MSC classification

Secondary: 20F67: Hyperbolic groups and nonpositively curved groups
Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 1 , 2013 , e3
Creative Commons
Creative Common License - CCCreative Common License - BY
The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution licence .
Copyright
© The Author(s) 2013.

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