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关于序列式次中紧空间的刻画
引用本文:张学茂.关于序列式次中紧空间的刻画[J].四川理工学院学报(自然科学版),2009,22(1).
作者姓名:张学茂
作者单位:泰州师范高等专科学校数理科学系,江苏,泰州,225300
摘    要:文章借助于Junnila技巧研究序列式次中紧空间。利用σ-闭包保持闭加细刻画了序列式次中紧空间,作为应用,闭序列覆盖映射保持序列次中紧性。

关 键 词:序列次中紧  σ-闭包保持闭加细  序列覆盖映射

Some Characterizations of Sequential Submesocompactness
ZHANG Xue-mao.Some Characterizations of Sequential Submesocompactness[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2009,22(1).
Authors:ZHANG Xue-mao
Institution:Dept.of Math.;Taizhou Teacher's College;Taizhou 225300;China
Abstract:The sequential submesocompact spaces is studied by use of the technique invented by H.J.K.Junnila.The sequential submesocompactness is characterized by σ-clousure-preserving closed refinement.As an application,it is proved that the closed sequence-covering mappings preserve sequnential submesocompactness.
Keywords:sequential submesocompactness  σ-clousure-preserving closed refinements  sequence-covering mappings
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