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Geodesic ideal triangulations exist virtually
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Luo, Feng, Schleimer, Saul and Tillmann, Stephan (2008) Geodesic ideal triangulations exist virtually. Proceedings of the American Mathematical Society, Vol.136 (No.7). pp. 2625-2630. doi:10.1090/S0002-9939-08-09387-8 ISSN 0002-9939.
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Official URL: http://dx.doi.org/10.1090/S0002-9939-08-09387-8
Abstract
It is shown that every non-compact hyperbolic manifold of finite volume has a finite cover admitting a geodesic ideal triangulation. Also, every hyperbolic manifold of finite volume with non-empty, totally geodesic boundary has a finite regular cover which has a geodesic partially truncated triangulation. The proofs use an extension of a result due to Long and Niblo concerning the separability of peripheral subgroups.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Proceedings of the American Mathematical Society | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9939 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.136 | ||||
Number: | No.7 | ||||
Page Range: | pp. 2625-2630 | ||||
DOI: | 10.1090/S0002-9939-08-09387-8 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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