Abstract
In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transformation group is topologically equivalent to an isometric one if it is uniformly equicontinuous.
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Supported by the NNSF of China(10371030).
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Li, Z., Li, J. Almost periodicity and equicontinuity of the topological transformation group. Appl. Math. Chin. Univ. 21, 467–472 (2006). https://doi.org/10.1007/s11766-006-0011-6
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DOI: https://doi.org/10.1007/s11766-006-0011-6