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文章基本信息

  • 标题:Some Characterizations of Open, Closed, and Continuous Mappings
  • 本地全文:下载
  • 作者:Navpreet Singh Noorie ; Rajni Bala
  • 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:2008
  • 卷号:2008
  • DOI:10.1155/2008/527106
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We obtain new characterizations of open maps in terms of closures, of closed maps in terms of interiors, and of continuous maps in terms of interiors. Further open (closed) onto maps 𝑓∶𝑋→𝑌 are described in terms of images under 𝑓 of certain closed (open) sets in 𝑋. Continuity of (onto) maps is also characterized in terms of saturated sets.
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