论文标题
关于图像覆盖自己的间隔的周期性问题的存在问题
On an existence problem of periodic points in intervals whose images cover themselves
论文作者
论文摘要
我们考虑在真实线上的$ k $间隔，在连续地图$ f $中包含自己的图像。猜想在这些间隔中存在一个周期性的周期点，不超过$ k $。我们在本文中证明了$ k = 5 $的猜想。我们还提出了一种试图解决问题的离散方法。
We consider $k$ intervals on the real line whose images under a continuous map $f$ contain themselves. It's conjectured that there exists a periodic point of period not bigger than $k$ in these intervals. We prove the conjecture for $k=5$ in this paper. We also propose a discretization method in attempt to solve the problem.
