关于有理函数的双曲叶和野叠的注记
A note on hyperbolic leaves and wild laminations of rational functions
摘要:
我们研究了由Lyubich和Minsky构造的仿射orbifold叠层。在它们的构造中,一个重要的问题是这些叠层是否总是局部紧凑的。我们表明,这是不是这样的。我们构造的反例具有正则叶空间包含与朱利亚集相交的(许多)双曲叶的性质;这是否可能发生本身就是柳比奇和明斯基提出的问题。
英文摘要:
We study the affine orbifold laminations that were constructed by Lyubich and Minsky. An important question left open in their construction is whether these laminations are always locally compact. We show that this is not the case. The counterexample we construct has the property that the regular leaf space contains (many) hyperbolic leaves that intersect the Julia set; whether this can happen is itself a question raised by Lyubich and Minsky.
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