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Bowditch, B. H. (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, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | L' Enseignement Mathematique | ||||
| Publisher: | Universite de Geneve, Section de Mathematiques | ||||
| ISSN: | 0013-8584 | ||||
| Official Date: | December 2010 | ||||
| Dates: |
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| Volume: | Vol.56 | ||||
| Page Range: | pp. 229-285 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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