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Shapes of polynomial Julia sets

Published online by Cambridge University Press:  04 August 2014

KATHRYN A. LINDSEY*
Affiliation:
Department of Mathematics, Cornell University, Ithaca, NY 14853, USA email klindsey@math.cornell.edu

Abstract

Any Jordan curve in the complex plane can be approximated arbitrarily well in the Hausdorff topology by Julia sets of polynomials. Finite collections of disjoint Jordan domains can be approximated by the basins of attraction of rational maps.

Type
Research Article
Copyright
© Cambridge University Press, 2014 

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References

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