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ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP

ISSN号：1005-1031
期刊名称：《高校应用数学学报：英文版（B辑）》
时间：0
分类：O152[理学—数学;理学—基础数学]
作者机构：[1]School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China., [2]College of Mathematics and Information Science, Henan Normal University, Henan 453007, China.
相关基金：Supported by the NNSF of China（10371030）.The authors would like to express appreciation to Professor He Lianfa for his encouragement and valuable suggestions.

关键词：统一空间, 同等连续性, 周期性, 统一结构, 转化群, uniform space, topological transformation group, equicontinuity, almost periodicity, compactly almost periodicity.

中文摘要：

在这篇论文，在一致空格的拓扑的转变组的几乎频率的描述被给。由在适当的底找一致结构，如果它是一致地同等连续的，拓扑的转变组拓扑地等价于不等大的，这被显示出。

英文摘要：

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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