Irreducible Julia sets of rational functions

Clinton P. Curry

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arXiv · 1006.5771

Irreducible Julia sets of rational functions

Clinton P. Curry

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Abstract

We prove that a polynomial Julia set which is a finitely irreducible continuum is either an arc or an indecomposable continuum. For the more general case of rational functions, we give a topological model for the dynamics when the Julia set is an irreducible continuum and all indecomposable subcontinua have empty interior.

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Clinton P. Curry. 2010-06-30. Irreducible Julia sets of rational functions. https://arxiv.org/abs/1006.5771

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