| (弱)诱导空间的r连通性 |
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| 引用本文： | 惠小静,马保国,李顺琴.(弱)诱导空间的r连通性[J].数学杂志,2007,27(5):588-592. |
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| 作者姓名： | 惠小静 马保国 李顺琴 |
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| 作者单位： | 1. 陕西师范大学数学与信息科学学院,陕西,西安,710062;延安大学数学与计算机科学学院,陕西,延安,716000
2. 延安大学数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 延安大学校科研和教改项目 |
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| 摘 要： | 本文研究了分明拓扑空间与其诱导空间,弱诱导空间与其底空间之间的关系.利用LF-r开集定义了r连通性,得出了弱诱导的LF拓扑空间是r连通的当且仅当其底空间是r连通的,并且分析(弱)诱导空间的结构.
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| 关 键 词： | LF拓扑空间 LF-r开集 r连通性 (弱)诱导空间 |
| 文章编号： | 0255-7797（2007）05-0588-05 |
| 修稿时间： | 2004-12-272005-06-30 |
r-CONNECTIVITY IN (WEAK) INDUCED TOPOLOGICAL SPACE |
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| HUI Xiao-jing,MA Bao-guo,LI Shun-qin.r-CONNECTIVITY IN (WEAK) INDUCED TOPOLOGICAL SPACE[J].Journal of Mathematics,2007,27(5):588-592. |
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| Authors: | HUI Xiao-jing MA Bao-guo LI Shun-qin |
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| Abstract: | The relationships between general topological space and its induced space, weak induced space and its base space are discussed; r-connectivity is defined by use of LF-r open set. It is obtained that a weak induced space is r-connected iff its base space is r-connected. These provide a convenient way for analysis of the structure of (weak) induced space. |
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| Keywords: | LF topological space LF-r open set r-connectivity (weak) induced topological space |
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