Trees of visible components in the Mandelbrot set
Volume 164 / 2000
Fundamenta Mathematicae 164 (2000), 41-60
DOI: 10.4064/fm-164-1-41-60
Abstract
We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.
