The Group Action Is Almost Periodic With Equal Degree Of Continuity

In this paper, we study the topological transformation groups on uniform spaces. We characterize almost periodicity with equiconti-nuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one. In the end, we show that an equicontinuous semi-flow is actually an equicontinuous flow and the closure of the orbit of equicontinuous semi-flow is dependent continuously on the initial state.