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拓扑分子格的S紧化与S次紧化

S-compactification and S-inferior-compactification in Topological Molecular Lattices

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【作者】 许兆龙

【Author】 XU Zhao-long(Faculty of Mathematics and Information Science,East China Institute of Technology,Fuzhou,JX 344000,China)

【机构】 东华理工学院数学与信息科学学院 江西抚州344000

【摘要】 利用半开元等半拓扑概念引入拓扑分子格的S紧化与S次紧化概念,给出了它们的刻画,推广了王国俊(1990)拓扑分子格的紧化与次紧化概念,得出了拓扑分子格与其最简单点S紧化关于分离性(半分离性)的性质,以及正统拓扑分子格与其最简单点S紧化(S次紧化)关于分离性(半分离性)的性质等。

【Abstract】 S-compactification and S-inferior-compactification of topological molecular lattices are introduced by semi-open elements,semi-topological concepts etc in this paper,and characterizations of them are given.Concepts of compactification and inferior-compactification of topological molecular lattices in the first reference document by Wang Guo-Jun are generalized.Properties on separation(semi-separation) of topological molecular lattices and its the simplest simple point s-compactification are given,Properties on separation(semi-separation) of orthodox topological molecular lattices and its the simplest simple point s-compactification(s-inferior-compactification) are given.

  • 【文献出处】 东华理工学院学报 ,Journal of East China Institute of Technology , 编辑部邮箱 ,2006年01期
  • 【分类号】O189
  • 【被引频次】2
  • 【下载频次】17
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