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The topology of Julia sets for polynomials

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Abstract

We prove that wandering components of the Julia set of a polynomial are singletons provided each critical point in a wandering Julia component is non-recurrent. This means a conjecture of Branner-Hubbard is true for this kind of polynomials

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Authors and Affiliations

  1. Centre of Mathematical Sciences, Zhejiang University, 310027, Hangzhou, China

    Yongcheng Yin

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  1. Yongcheng Yin
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Yin, Y. The topology of Julia sets for polynomials. Sci. China Ser. A-Math. 45, 1020–1024 (2002). https://doi.org/10.1007/BF02879985

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  • DOI: https://doi.org/10.1007/BF02879985

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