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Homeomorphisms from Julia sets into connectedness loci
Published online by Cambridge University Press: 03 July 2006
Abstract
We construct a homeomorphism from the filled Julia set of a given polynomial into the connectedness locus of the family of all polynomials of higher degree by using intertwining surgery. A polynomial in the image of such a homeomorphism has a renormalization of ‘capture’ type and the inverse map is given by the ‘marking’ of the captured critical orbit.
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- Research Article
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- 2006 Cambridge University Press
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