论文标题
指数迭代和鲍雷尔集
Exponential iteration and Borel sets
论文作者
论文摘要
我们确定其在$ \ exp(z)+a $下的迭代点的确切borel类倾向于无穷大。我们还证明,这些功能中许多功能的非排列朱莉娅点的集合在拓扑上是等效的。
We determine the exact Borel class of the points whose iterates under $\exp(z)+a$ tend to infinity. We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent.