Continuity, uniform continuity, uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。

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We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.

本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。

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