区间和圆周上的distal自映射

DISTAL SELF-MAPPINGS OF THE INTERVAL AND THE CIRCLE

本文研究distal连续自映射,给出了区间和圆周上distal连续自映射的刻画,并证明了对于连续自映射,等度连续性不能蕴涵distal性.

Let f be a self-mapping of the interval and the circle. Necessary and sufficient conditions are given for f to be distal. With these results, it is showed that an equicontinuous self-mapping reed not be distal,