The Boundary of the Gieseking Tree in Hyperbolic Three-space

Abstract

We give an elementary proof of the Cannon-Thurston Theorem in the case of the Gieseking manifold. We work entirely on the boundary, using ends of trees, and obtain pictures of the regions which are successively filled in by the Peano curve of Cannon and Thurston.

Cite this paper

@inproceedings{Alperin1998TheBO, title={The Boundary of the Gieseking Tree in Hyperbolic Three-space}, author={Roger C. Alperin and Warren Dicks and Joan Porti}, year={1998} }