Almost periodic points and minimal sets in topological spaces

• Fujita, Chikara ^[1] ; Kato, Hisao ^[1]
  1. [1] University of Tsukuba

     University of Tsukuba

     Japón

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 10, Nº. 2, 2009, págs. 239-244
• Idioma: inglés
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• Resumen

  • In the paper [Almost periodic points and minimal sets in w-regular spaces, Topology Appl. 154 (2007), 2873–2879], Mai and Sun showed that several known results concerning almost periodic points and minimal sets of maps can be generalized from regular spaces to w-regular spaces. Also, they have three unsolved problems. In this paper, we answer to all problems which remain unsolved in the paper of Mai and Sun. In fact we prove some general theorems which give counte rexamples of the problems.