论文标题
嵌入流中的免费映射的连词
Conjugacy of free mappings embedded in a flow
论文作者
论文摘要
在本文中,我们研究了飞机的免费映射,即定向保留$ \ Mathbb {r}^2 $的固定点免费同构。我们提供了一种必要且充分的条件,在该条件下,使用Haefliger-Reeb的平面叶子理论,将嵌入流中的平面的两个自由映射彼此共轭。
In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of $\mathbb{R}^2$. We provide a necessary and sufficient condition under which two free mappings of the plane that are embedded in flows are conjugate to one another using Haefliger-Reeb theory of plane foliations.