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Trees of visible components in the Mandelbrot set
2000
Fundamenta Mathematicae
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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.
doi:10.4064/fm-164-1-41-60
fatcat:6vnrwh57f5hf5c6fstgmalpnym