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  • 标题:A Note on Almost Periodic Points and Minimal Sets in <svg style="vertical-align:-4.50008pt;width:22.2875px;" id="M1" height="20.5625" version="1.1" viewBox="0 0 22.2875 20.5625" width="22.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.5625)"> <g transform="translate(72,-55.55)"> <text transform="matrix(1,0,0,-1,-71.95,60.08)"> <tspan style="font-size: 17.93px; " x="0" y="0">T</tspan> </text> <text transform="matrix(1,0,0,-1,-60.99,55.6)"> <tspan style="font-size: 12.55px; " x="0" y="0">1</tspan> </text> </g> </g> </svg>- and <svg style="vertical-align:-4.50008pt;width:22.2875px;" height="20.5625" version="1.1" viewBox="0 0 22.2875 20.5625" width="22.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.5625)"> <g transform="translate(72,-55.55)"> <text transform="matrix(1,0,0,-1,-71.95,60.08)"> <tspan style="font-size: 17.93px; " x="0" y="0">T</tspan> </text> <text transform="matrix(1,0,0,-1,-60.99,55.6)"> <tspan style="font-size: 12.55px; " x="0" y="0">2</tspan> </text> </g> </g> </svg>-Spaces
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  • 作者:Jie-Hua Mai ; Xin-He Liu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2008
  • 卷号:2008
  • DOI:10.1155/2008/262475
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We show that (1) there exist almost periodic orbits in 𝑇2-spaces of which the closures are not minimal sets; (2) there exist minimal sets in locally compact 𝑇1-spaces which are not compact; (3) there exist almost periodic orbits in 𝑇2-spaces of which the closures contain not only almost periodic points. These give answers to the three problems given by Mai and Sun in (2007).
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