| S-紧性与S-分离性 |
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| 引用本文： | 马跃超,杨姗姗.S-紧性与S-分离性[J].哈尔滨建筑大学学报,2003(6). |
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| 作者姓名： | 马跃超 杨姗姗 |
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| 作者单位： | 燕山大学数学系，哈尔滨商业大学基础部 河北 秦皇岛 066004，黑龙江 哈尔滨 150076 |
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| 基金项目： | 黑龙江省自然科学基金(A01-11)，黑龙江省教育厅科学技术一般项目(10511088) |
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| 摘 要： | 在S-紧空间中讨论了几个S-分离空间之间的关系,给出了S_2-空间成为S_3*-空间,S_3*-空间成为S_4*-空间的一个充分条件。主要结论:设X是-S紧空间,且具有有限半开集可交性,则(1)若是S_2-空间,则X是S_3*-空间;(2)若是S_2-空间,则X是S_4*-空间;(3)若是S_3*-空间,则X是S_4*-空间。
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| 关 键 词： | 半开集 S-紧性 S-分离性 不定函数 |
S-compactness and S-separability |
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| MA Yue-chao,YANG Shan-shan
. Dept. of Mathematics,Yanshan University,Qinhuangdao ,China
. Dept. of Foundation,Harbin University of Commerce,Harbin ,China.S-compactness and S-separability[J].Journal of Harbin University of Civil Engineering and Architecture,2003(6). |
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| Authors: | MA Yue-chao YANG Shan-shan
Dept of Mathematics Yanshan University Qinhuangdao China
Dept of Foundation Harbin University of Commerce Harbin China |
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| Affiliation: | MA Yue-chao,YANG Shan-shan
1. Dept. of Mathematics,Yanshan University,Qinhuangdao 066004,China
2. Dept. of Foundation,Harbin University of Commerce,Harbin 150076,China |
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| Abstract: | In a S-compactness space, we giwe a sufficient condition that S_2-space become S_3 *-space or S_3 *- space become S_4 * -space. Mian results : If X is a S-cmpactness space, and X has finite semi-open set interrec- tion property then(1)If X is a S_2-space, then X is a S_3 *-space; (2)If X is a S_2-space, then X is a S_4 *- space; (3) If X is a S_3 * -space, then X is a S_4 * -space. |
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| Keywords: | semi-open set S-compactness S-separation irresolute function |
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