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  • 标题:A note of almost continuous mappings and Baire spaces
  • 本地全文:下载
  • 作者:Jing Cheng Tong
  • 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:1983
  • 卷号:6
  • DOI:10.1155/S0161171283000198
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We prove the following theorem: THEOREM. Let Y be a second countable, infinite R0-space. If there are countably many open sets 01,02,…,0n,… in Y such that 01⫋02⫋…⫋0n⫋…, then a topological space X is a Baire space if and only if every mapping f:X→Y is almost continuous on a dense subset of X. It is an improvement of a theorem due to Lin and Lin [2].
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