| 终与始L—Fuzzy拓扑空间 |
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| 引用本文： | 白永成. 终与始L—Fuzzy拓扑空间[J]. 陕西师范大学学报(自然科学版), 1988, 0(1) |
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| 作者姓名： | 白永成 |
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| 作者单位： | 汉中师范学院 |
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| 摘 要： | 本文引进终与始 L—Fuzzy 拓扑空间的概念,并利用 L—Fuzzy 集的分解定理证明了:一族分明拓扑空间拓扑生成的 L—Fuzzy 拓扑空间族的终(始)空间与该族的终(始)空间生成的 L—Fuzzy 拓扑空间一致;一族 L—Fuzzy 拓扑空间的终空间导出的分明拓扑空间弱于导出的分明拓扑空间族的终空间;由分明拓扑空间族的乘积(商)空间拓扑生成的 L—Fuzzy 拓扑空间等于拓扑生成的 L—Fuzzy 拓扑空间的乘积(商)空间.
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| 关 键 词： | 终空间 始空间 乘积空间 |
INITIAL AND FINAL L-FUZZY TOPOLOGICAL SPACES |
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| Bai Yongcheng. INITIAL AND FINAL L-FUZZY TOPOLOGICAL SPACES[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1988, 0(1) |
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| Authors: | Bai Yongcheng |
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| Affiliation: | Hanzhong Normal College |
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| Abstract: | In this paper we introduce the concepts of initial and final L-fuzzy topological spaces.Using the decomposition theorem P,we show that the final (initial) space of the family of L-Fuzzy topological spaces topologically generated by a family of general topological spaces is consistent with the L-fuzzy topoloical space generated by their final (inital) space and that the general topological space induced by the final (initial) space of a family of L-Fuzzy topolpgical spaces is weaker than the final(initil)space of the family of general topological spaces induced by them.we also abtained that the L-Fuzzy topoloyical space topologically generated by the pro- duct(quotient)space of a family general topological spaces is equal to the product (quotient)space of the family of L-Fuzzy topological spaces topologically generated by them. |
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| Keywords: | Final spaces Initial spaces Product spaces |
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