Forum of Mathematics, Sigma (Jan 2013)

CANNON–THURSTON MAPS DO NOT ALWAYS EXIST

O. BAKER,
T. R. RILEY

Affiliations

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

DOI: https://doi.org/10.1017/fms.2013.4
Journal volume & issue: Vol. 1

Abstract

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

20F67

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

About the journal