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  • 标题:On <mml:math alttext="$S$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>-cluster sets and <mml:math alttext="$S$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>-closed spaces
  • 本地全文:下载
  • 作者:M. N. Mukherjee ; Atasi Debray
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2000
  • 卷号:23
  • DOI:10.1155/S0161171200001277
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A new type of cluster sets, called S-cluster sets, of functions and multifunctions between topological spaces is introduced, thereby providing a new technique for studying S-closed spaces. The deliberation includes an explicit expression of S-cluster set of a function. As an application, characterizations of Hausdorff and S-closed topological spaces are achieved via such cluster sets.
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