| 一类S闭空间 |
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| 引用本文： | 张夏苇,孔庆钊,陈海燕.一类S闭空间[J].山东大学学报(自然科学版),2012(2):115-118. |
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| 作者姓名： | 张夏苇 孔庆钊 陈海燕 |
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| 作者单位： | [1]厦门理工学院数学系,福建厦门361021 [2]集美大学理学院,福建厦门361021 [3]广西大学数学与信息科学学院,广西南宁530004 |
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| 基金项目： | 福建省自然科学基金资助项目（2010J05010）; 福建省教育厅项目（JB09202）; 广西自然科学基金资助项目（桂科自0728035） |
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| 摘 要： | 讨论了S闭空间的性质,证明了（1）局部S闭空间是半正则遗传的;（2）如果A是正则开集,则A是X的局部S闭子空间当且仅当A相对X是局部S闭的;（3）每一T2的最小局部S闭空间是S闭空间。
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| 关 键 词： | 局部S闭空间 半正则集 半开集 |
On a kind of S-closed spaces |
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| ZHANG Xia-wei,KONG Qing-zhao,CHEN Hai-yan.On a kind of S-closed spaces[J].Journal of Shandong University(Natural Science Edition),2012(2):115-118. |
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| Authors: | ZHANG Xia-wei KONG Qing-zhao CHEN Hai-yan |
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| Institution: | 1.Department of Mathematics and Physics,Xiamen University of Technology,Xiamen 361021,Fujian,China; 2.College of Mathematics and Physics,Jimei University,Xiamen 361021,Fujian,China; 3.College of Mathematics and Information Science,Guangxi University,Nanning 530004,Guangxi,China) |
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| Abstract: | The properties extending S-closed spaces are discussed.It is shown that（1） every semi-open regular subspace of a locally S-closed space is locally S-closed.（2）If A is a regular open subset of X,then A is locally S-closed if and only if A is locally S-closed relative to X.（3） Every T2 minimal-locally-S-closed space is S-closed. |
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| Keywords: | locally S-closed spaces semi-regular set semi-open set |
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