论文标题
关于Smale订单的真实性
On the realisability of Smale orders
论文作者
论文摘要
在本文中，我们正在考虑一个问题，即有限集的部分顺序是可以将结构稳定的差异性或作用在封闭歧管上的流动的Smale顺序实现的。我们将可实现的订单分类为1）作用在封闭表面上的$ω$稳定的差异性2）在封闭的3个manifold上的Anosov流动3）稳定的差异性差异，带有琐碎的吸引子和驱虫器，作用在封闭的表面上。
In this paper we're considering the question of whether or not a partial order on a finite set is realisable as a Smale order of a structurally stable diffeomorphism or flow acting on a closed manifold. We classify the orders that are realisable by 1) an $Ω$-stable diffeomorphism acting on a closed surface 2) an Anosov flow on a closed 3-manifold 3) a stable diffeomorphism with trivial attractors and repellers acting on a closed surface.
