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| 一类S闭空间 | |
| 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(理学版), 2012, 47(2): 115-118 |
| 作者姓名： | 张夏苇 孔庆钊 陈海燕 |
| 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 |
| 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) |
| 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。 |
| 关 键 词： | 局部S闭空间 半正则集 半开集 |
| 收稿时间： | 2010-10-26 |
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, 2012, 47(2): 115-118 | |
| Authors: | ZHANG Xia-wei KONG Qing-zhao CHEN Hai-yan |
| Affiliation: | 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) |
| 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. |
| Keywords: | locally S-closed spaces semi-regular set semi-open set |
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