On the Hausdorff dimension of the Gieseking fractal

DOI10.1016/S0166-8641(02)00077-9zbMath1029.57012MaRDI QIDQ1867179

Warren Dicks, Joan Porti

Publication date: 2 April 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionCannon-Thurston mapfractal curve

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Fractals (28A80) Group actions on manifolds and cell complexes in low dimensions (57M60) Dimension theory in general topology (54F45)

Related Items (2)

Cohomology fractals, Cannon–Thurston maps, and the geodesic flow ⋮ On hyperbolic once-punctured-torus bundles. IV: Automata for lightning curves

Cites Work

• The boundary of the Gieseking tree in hyperbolic three-space
• Hausdorff dimension and Kleinian groups
• On hyperbolic once-punctured-torus bundles
• Group invariant Peano curves
• Inequalities for certain Fuchsian groups
• On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
• Equivariant, Almost Homeomorphic Maps between S 1 and S 2
• Local connectivity, Kleinian groups and geodesics on the blowup of the torus.
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