PERIODIC POINT FREE HOMEOMORPHISM OF T2
PERIODIC POINT FREE HOMEOMORPHISM OF T2
复制标题
T2 的周期无点同胚
DOI：
10.2307/2047842
复制
发表时间：
2010
影响因子：
3.2
通讯作者：
M. Handel
中科院分区：
文献类型：
--
作者：
M. Handel
。设f：t2-？t2是环面的保同向同伦环，它与恒等式同伦且没有周期点。我们证明了存在一个方向和一个数p，使得f的每个轨道在方向6上有旋转数p。
. Suppose that f: T2 —» T2 is an orientation preserving homeomor- phism of the torus that is homotopic to the identity and that has no periodic points. We show that there is a direction Ö and a number p such that every orbit of / has rotation number p in the direction 6 .