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ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP 被引量：1

ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP
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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. 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.
作者 Li Zhicong Li Juntao
机构地区 School of Science College of Mathematics and Information Science
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2006年第4期467-472,共6页 高校应用数学学报（英文版）（B辑）
基金 Supported by the NNSF of China(10371030).
关键词 uniform space topological transformation group EQUICONTINUITY almost periodicity compactly almost periodicity. uniform space, topological transformation group, equicontinuity, almost periodicity, compactly almost periodicity.
分类号 O152 [理学—基础数学]
  • 相关文献

参考文献9

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同被引文献7

  • 1NEMYCKII V, STEPANOV V. Qualitative Theory of Differential Equations[M]. Princeton: Princeton University Press. 1965.
  • 2BLANCHARD F, HOST B,MAASS A. Topological complexity[J]. Ergodic Theory and Dynamical Systems,2000(20) :641-662.
  • 3YOUNG S. A new proof of that a mapping is regular if and only if it is almost periodic[J]. Michigan Mathematical Journal, 1989,36 (1) : 11-15.
  • 4FABEL P. Characterizations of compactly almost periodic homeomorphisms of metrizable space [J]. Topology and Its Applications,2004, 142(1/3) : 1-12.
  • 5GOTTSCHALK W. Characterizations of almost periodic transformation groups[J]. Proe Amer Math Soe, 1956,7: 709-712.
  • 6MUNKRES J. Topology: A First Course[M]. Prentice-Hall Englewood Cliffs, 1975.
  • 7NUMAKURA K. On bicompact semigroups [J]. Math J Okayama Univ, 1952,1 : 99-108.

引证文献1

Applied Mathematics(A Journal of Chinese Universities)
2006年 第4期

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