论文标题
广场上的非孔特殊α-限制
A non-Borel special alpha-limit set in the square
论文作者
论文摘要
我们考虑了特殊$α$限制集的复杂性，这是一种不可变形动力系统的向后限制集。我们表明，即使在单元正方形上有汇总地图的情况下，这些集合总是分析，但不一定是borel。这回答了Kolyada，Misiurewicz和Snoha提出的问题。
We consider the complexity of special $α$-limit sets, a kind of backward limit set for non-invertible dynamical systems. We show that these sets are always analytic, but not necessarily Borel, even in the case of a surjective map on the unit square. This answers a question posed by Kolyada, Misiurewicz, and Snoha.
