中文摘要：

将强一致收敛和F-敏感依赖以及测度中心结合考虑，利用数族的性质，探索强一致收敛映射列的F-敏感依赖性与其极限映射的F-敏感依赖性的关系，并利用（拟）弱几乎周期点与测度中心的关系，结合（拟）弱几乎周期点的性质，证明若强一致收敛映射列是F-敏感依赖，则其极限映射也是F-敏感依赖；若强一致映射列具有满测度中心，则其极限映射也有满测度中心。

英文摘要：

In this paper, we study the relationship between the sensitivity and measure center of strongly uniform convergence mappings and those of the limit map. By using the relationship between （quasi） weakly almost periodic points and measure centre and the properties of （quasi） weakly almost periodic points,we prove that uni- formly convergence mappings are F - sensitive, then the limit map is F - sensitive ; if uniformly convergence mappings have full measure centers, then the limit map has a full measure centre. The conclusions gotten in this paper are of certain theoretical significance and are valuable.