中文摘要：

证明并给出交错系统拓扑熵的定义，讨论了交错映射拓扑熵的值与乘积映射拓扑熵的值之间的关系。

英文摘要：

In this paper,we prove and give the definition of the topological entropy of alternating systems,and demonstrate the relationship between the value of the topological entropy of alternating maps and that of the topological entropy of product maps.