Cannon-Thurston maps, i-bounded geometry and a theorem of Mcmullen

Mahan, M. J. (2011) Cannon-Thurston maps, i-bounded geometry and a theorem of Mcmullen Seminaire de Theorie Spectrale et Geometrie, 28 . pp. 63-108. ISSN 1624-5458

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Official URL: http://arxiv.org/pdf/math.GT/0511104.pdf

Abstract

The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

Item Type:Article
Source:Copyright of this article belongs to Institut Fourier, Universite Joseph Fourier, Grenoble.
ID Code:89542
Deposited On:28 Apr 2012 12:57
Last Modified:19 May 2016 04:04

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