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Adding machines as invariant sets for homeomorphisms of a disk into the plane
Published online by Cambridge University Press: 10 April 2006
Abstract
Let $h:D\rightarrow {\mathbb R}^2$ be a homeomorphism of a disk into the plane. Let $C\subset {\rm int}\,D$ be a Cantor set such that $(C,h|_C)$ is an adding machine. We give a condition under which there are points outside of C which have their entire orbits contained in D.
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- Research Article
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- 2006 Cambridge University Press
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