| L-fuzzy拓扑空间中关于子基的分离性 |
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| 引用本文： | 苏淑华,张美英. L-fuzzy拓扑空间中关于子基的分离性[J]. 数学的实践与认识, 2012, 42(23) |
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| 作者姓名： | 苏淑华 张美英 |
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| 作者单位： | 1. 东华理工大学理学院,江西抚州34400;湖南大学数学与计量经济学院,湖南长沙410082
2. 东华理工大学理学院,江西抚州34400 |
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| 基金项目： | 国家社科基金项目(12BJY122)江西教育厅科技项目(GJJ12388)江西省教改项目 |
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| 摘 要： | 在L-fuzzy拓扑空间中引入了关于子基的分离性公理,给出了它们的特征刻画,研究了它们的一系列基本性质,如可遗传性、可积性、L-fuzzy同胚不变性等,并得到了这类新分离性与T分离性是等价的.
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| 关 键 词： | L-fuzzy拓扑空间 关于子基的远域 关于子基的分离性 |
Separation Axioms Based on Subbase in L-Fuzzy Topological Spaces |
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| SU Shu-hua , ZHANG Mei-ying. Separation Axioms Based on Subbase in L-Fuzzy Topological Spaces[J]. Mathematics in Practice and Theory, 2012, 42(23) |
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| Authors: | SU Shu-hua ZHANG Mei-ying |
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| Abstract: | For L-fuzzy topological spaces,separation axioms based on subbase are introduced and their characterizations are given,and a series of their basic properties are studied, such as hereditary,multiplicative,L-fuzzy homeomorphisms and so on.Moreover,it is obtained that the new separation is equivalent of T separation. |
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| Keywords: | L-fuzzy topological space remote neighborhood based on subbase separation axioms based on subbase |
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