| 半拓扑线性空间的子空间、乘积空间和商空间 |
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| 引用本文： | 吴大勇,康正华,苏雅拉图.半拓扑线性空间的子空间、乘积空间和商空间[J].内蒙古师范大学学报(自然科学版),2010,39(4):346-350. |
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| 作者姓名： | 吴大勇 康正华 苏雅拉图 |
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| 作者单位： | 内蒙古财经学院统计与数学学院;呼和浩特市第二中学;内蒙古师范大学数学科学学院; |
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| 基金项目： | 内蒙古自然科学基金资助项目(20080404MS0102) |
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| 摘 要： | 在半拓扑线性空间的基础上,定义了半拓扑线性子空间、商半拓扑线性空间,讨论了它们的一些性质,给出在一定条件下乘积空间成为半拓扑线性空间的条件.
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| 关 键 词： | 半开集 半拓扑线性空间 半拓扑线性子空间 乘积空间 商半拓扑线性空间 |
Subspace, Product Space and Quotient Space of Semi-Topological Linear Spaces |
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| WU Da-yong,KANG Zheng-hua,Suyalatu.Subspace, Product Space and Quotient Space of Semi-Topological Linear Spaces[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2010,39(4):346-350. |
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| Authors: | WU Da-yong KANG Zheng-hua Suyalatu |
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| Institution: | 1.College of Statistics and Mathematics/a>;Inner Mongolia Finance and Economics College/a>;Hohhot 010070/a>;China/a>;2.No.2 Middle School of Hohhot/a>;Hohhot 010020/a>;3.College of Mathematics Science/a>;Inner Mongolia Normal University/a>;Hohhot 010022/a>;China |
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| Abstract: | On the basis of the semi-topological linear spaces,the semi-topological linear subspace and semi-topological linear quotient space were defined,and some natures were discussed.At the same time,the conditions for the product space to become semi-topological linear spaces was given. |
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| Keywords: | semi-open set semi-topological linear spaces semi-topological linear subspace product space semi-topological linear quotient space |
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