| 诱导L-smooth拓扑空间 |
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| 引用本文： | 胡晓楠,孟广武.诱导L-smooth拓扑空间[J].山东大学学报(理学版),2008,43(8):64-68. |
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| 作者姓名： | 胡晓楠 孟广武 |
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| 作者单位： | 聊城大学数学科学学院,山东,聊城,252059 |
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| 摘 要： | 引入L-fuzzifying拓扑空间及生成L-smooth拓扑空间的概念,研究了L-fuzzifying拓扑空间(X,τ)与其相应的生成L-smooth拓扑空间(LX,ω(τ))的关系;介绍了ω算子及其运算性质;给出并研究了L-smooth诱导空间,L-smooth弱诱导空间,L-smooth满层空间的定义和它们之间的联系。
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| 关 键 词： | L-fuzzifying拓扑 L-smooth拓扑 L-smooth诱导拓扑空间 L-smooth弱诱导拓扑空间 L-smooth满层空间 |
Induced L-smooth topological space |
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| HU Xiao-nan,MENG Guang-wu.Induced L-smooth topological space[J].Journal of Shandong University,2008,43(8):64-68. |
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| Authors: | HU Xiao-nan MENG Guang-wu |
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| Institution: | School of Mathematics, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | The concepts of L-fuzzifying topological space and generated L-smooth topological space were introduced, the connection between (X,τ)and its corresponding generated space (LX,ω(τ)) was studyed. Also, the properties of operators ω and the concepts of induced L-smooth topological space, weakly induced L-smooth topological space and stratified L-smooth topological space were given. |
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| Keywords: | L-fuzzifying topology L-smooth topology induced L-smooth topological space weakly induced L-smooth topological space stratified L-smooth topological space |
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