k华沙圈上连续自映射的某些动力性质

研究k华沙圈上连续自映射的某些动力性质，证明了k华沙圈不是Sarkovskii空间；具有PR性质；对定义在k华沙圈上的连续自映射而言，弧立链回归点是最终周期点；中心深度不超过4；如周期点的周期都是2的方幂，则拓扑熵为零；可迁映射等价于Devaney意义下的混沌。

Some dynamical properties of continuous maps on the %k%-Warsaw circle.

Some dynamical properties of continuous maps on the %k%|Warsaw circle are studied, show that: a %k%|Warsaw circle need not be a Sarkovskii space; it has the %PR%|property; for the self|map on a %k%|Warsaw circle, isolated chain recurrent points are eventually periodic; the depth of the center is not greater than 4; the topological entropy is zero provided that the periods of periodic points are the powers of 2; and transitive maps are equivalent to the chaos in the sense of Devaney.