论文标题
平滑动力学系统的抗分类结果。初步报告
Anti-classification results for smooth dynamical systems. Preliminary Report
论文作者
论文摘要
本文认为，逐与塑形的等效关系对平滑流形的差异性。在维度2及更高版本中，表明没有borel方法可以连接完整的数值不变性。在维度5及更高版本中，表明等效关系不是borel，实际上是完全分析的。
The paper considers the equivalence relation of conjugacy-by-homeomorphism on diffeomorphisms of smooth manifolds. In dimension 2 and above it is shown that there is no Borel method of attaching complete numerical invariants. In dimension 5 and above it is shown that the equivalence relation is not Borel, and in fact is complete analytic.
