We give an elementary proof of the Cannon-Thurston Theorem in the case of the Gieseking manifold. We do not use Thurston's structure theory for Kleinian groups but simply calculate with two-by-two complex matrices. 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. © 1999 Elsevier Science B.V. All rights reserved.
|Journal||Topology and its Applications|
|Publication status||Published - 1 Dec 1999|
- Cannon-Thurston map
- Ends of topological spaces
- Gieseking manifold