Irreducible Julia sets of rational functions
Irreducible Julia sets of rational functions
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DOI：
10.1080/10236190903244857
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发表时间：
2010-05
影响因子：
1.1
通讯作者：
Clinton P. Curry
中科院分区：
文献类型：
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作者：
Clinton P. Curry
证明了有限不可约连续统的多项式Julia集是弧或不可分解连续统。对于有理函数的更一般情况，我们给出了当Julia集合是不可约连续体且所有不可分解次连续体都有空内部时的动力学拓扑模型。
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.