Mahan, M. J. (2009) Cannon-Thurston maps for pared manifolds of bounded geometry Geometry and Topology, 13 . pp. 189-245. ISSN 1465-3060
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Official URL: http://arxiv.org/pdf/math.GT/0503581.pdf
Abstract
Let Nh ∈, H(M, P) be a hyperbolic structure of bounded geometry on a pared manifold such that each component of ∂0M = ∂M - P is incompressible. We show that the limit set of Nh is locally connected by constructing a natural Cannon-Thurston map. This provides a unified treatment, an alternate proof and a generalization of results due to Cannon and Thurston, Minsky, Bowditch, Klarreich and the author.
Item Type: | Article |
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Source: | Copyright of this article belongs to Mathematical Sciences Publishers. |
ID Code: | 89543 |
Deposited On: | 28 Apr 2012 12:56 |
Last Modified: | 19 May 2016 04:04 |
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