Bowditch, B. H. (Brian Hayward), 1961- . (2010) Notes on tameness. L' Enseignement Mathematique, Vol.56 . pp. 229-285. ISSN 0013-8584

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Abstract

It has been shown by Bonahon, Agol, Calegari and Gabai that a complete hyperbolic 3-manifold with finitely generated fundamental group is topologically finite. This was conjectured by Marden, and via a geometric reinterpretation by Thurston, has become known as the ``Tameness Theorem''. In this paper we give an account of this result, inspired by arguments of Soma, which is as far as possible self-contained. We also describe how it can be generalised to pinched negative curvature, and how it implies a version of Ahlfors's finiteness theorem in this context.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	L' Enseignement Mathematique
Publisher:	Universite de Geneve, Section de Mathematiques
ISSN:	0013-8584
Date:	December 2010
Volume:	Vol.56
Page Range:	pp. 229-285
Status:	Peer Reviewed
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/43182

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