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群作用的几乎周期性与等度连续性
引用本文:李志从,李钧涛.群作用的几乎周期性与等度连续性[J].高校应用数学学报(英文版),2006,21(4).
作者姓名:李志从  李钧涛
摘    要:


ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP
Li Zhicong,Li Juntao.ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP[J].Applied Mathematics A Journal of Chinese Universities,2006,21(4).
Authors:Li Zhicong  Li Juntao
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.
Keywords:uniform space  topological transformation group  equicontinuity  almost periodicity  compactly almost periodicity
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