连续映射的紧致系统的拓扑熵

Toppological Entropy of Compact Dynamical System for Continuous Mappings

证明了在一般的紧致度量空间上,等距映射的系统,压缩映射的系统,单位圆上的自同胚映射的系统等的拓扑熵都为零,而可扩映射的系统有正的拓扑熵。

We prove in this paper that topological entropy is zero,in systems of equivariant mapping,that systems of compression mapping,and systems of the homeomorphism of unit circle onto itself,while the toppological entropy is positive,that extensible mapping in the compact toppological metric space.