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两个GO-空间乘积的正规性

Normality of Product of Two GO-Spaces
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摘要 本文是在日本数学家Kemoto 1993年所作的关于一个GO-空间(广义线性序空间)和一个正则不可数基数乘积正规性的结果的基础上作了进一步的推广,得到了两个GO-空间乘积的正规性的一个更一般的结果. In this paper, we obtained some results about the normality of product of two GO-spaces, which generalized the result about the normality of a GO-space and a regular uncountable cardinal in the paper composed by Japanese mathematician Nobuyuki Kemoto in 1993.
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2002年第2期399-404,共6页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(19971048)
关键词 G0-空间 LOTS 正则不可数基数 乘积 正规性 广义线性序空间 GO-space LOTS Regular uncountable cardinal <k- paracompact
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参考文献8

  • 1Miwa T.,Kemoto N.,Linearly ordered Extensions of GO-spaces,Topology and Its Applications,1993,54:133-140.
  • 2Kemoto N.,Normality of products of GO-spaces and cardinal,Topology Proceedings,1993,18:133-142.
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  • 4Przymusinski T. C.,Products of Normal Spaces,Handbook of Set Theoretic Topology (ed. by Kunen K. and Vaughan J. E.),Northholland 1984,781-826.
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