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The topology of Julia sets for polynomials
Authors:Yin Yongcheng
Institution:Centre of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
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
Keywords:critical point  non-recurrent  Julia set
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