Abstract
Let be a hyperbolic structure of bounded geometry on a pared manifold such that each component of is incompressible. We show that the limit set of 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.
Citation
Mahan Mj. "Cannon–Thurston maps for pared manifolds of bounded geometry." Geom. Topol. 13 (1) 189 - 245, 2009. https://doi.org/10.2140/gt.2009.13.189
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