On the Application of Iteration in the Topological Space of Topological Conjugacy

This article is mainly about the nature and application of iteration in the topological space of topological conjugacy.It gives and proves the equivalent propositions of topological conjugacy.It is pointed out that if the two functions is topological conjugacy,then they can be regarded as the same functions.Then another simple topological conjugacy function can replace the function in the research of self-mapping properties of dynamical systems.