| 同底L-fuzzy拓扑空间范畴及其积运算 |
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| 引用本文： | 李建,刘瑞新.同底L-fuzzy拓扑空间范畴及其积运算[J].河南大学学报(自然科学版),2007,37(6):566-568. |
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| 作者姓名： | 李建 刘瑞新 |
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| 作者单位： | 河南工程学院,河南,郑州,451191;黄河水利职业技术学院,信息工程系,河南,开封,475003 |
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| 基金项目： | 河南省高校骨干教师基金项目(G2002026)，河南省自然科学计划项目(200510475028) |
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| 摘 要： | 引入同底L-fuzzy拓扑空间范畴,证明了一族L-fuzzy拓扑空间的"乘积空间"正是其在上述范畴中的乘积.引入一族L-fuzzy拓扑空间的"上积空间",证明了一族L-fuzzy拓扑空间的"上积空间"正是其在上述范畴中的上积.
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| 关 键 词： | LF拓扑空间 乘积 上积 范畴 |
| 文章编号： | 1003-4978（2007）06-0566-03 |
| 修稿时间： | 2006-09-16 |
The Category of LF Topological Spaces with same F-Lattice and its Product Operation |
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| LI Jian,LIU Rui-xin.The Category of LF Topological Spaces with same F-Lattice and its Product Operation[J].Journal of Henan University(Natural Science),2007,37(6):566-568. |
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| Authors: | LI Jian LIU Rui-xin |
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| Institution: | 1. Henan Institute of Technology, Zhengzhou 451191, China; 2. Information Engineering Science department, Yellow River Conservancy Technical Institute, Henan Kaifeng 475003, China |
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| Abstract: | This paper introduces a concept coproduct LF topological space of an indexed set of LF topological spaces, and a category whose objects are LF topological space with same F-Lattice. And it concludes that the product of an indexed set of objects in the category is the product LF topological space of them, and that the coproduct of an indexed set of objects in the category is the coproduct LF topological space of them. |
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| Keywords: | LF topological space product coproduct category |
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