| L-fuzzy拓扑空间的可数强F紧性理论研究 |
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| 引用本文： | 万诗敏.L-fuzzy拓扑空间的可数强F紧性理论研究[J].天津城市建设学院学报,2014(3):225-228. |
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| 作者姓名： | 万诗敏 |
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| 作者单位： | 天津城建大学理学院,天津300384 |
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| 基金项目： | 天津市教委重点课题（C04-0832）;天津城建大学教育教学改革与研究项目（13-JG-1227） |
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| 摘 要： | 利用 α-远域族的工具，在L—fuzzy拓扑空间中引进可数强F紧性，研究了可数强F紧性的刻划问题．证明了可数强F紧性是“L-好的推广”、对闭子集遗传以及是F完备映射的逆不变量，同时，系统地研究了可数强F紧性的一些特征性质．
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| 关 键 词： | L—fuzzy拓扑空间 α-远域族 可数强F紧性 γ-复盖 L-好的推广 α-ω 聚点 |
The Countable Strong F Compactness Theory Research of L-fuzzy Topological Space |
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| WAN Shi-min.The Countable Strong F Compactness Theory Research of L-fuzzy Topological Space[J].Journal of Tianjin Institute of Urban Construction,2014(3):225-228. |
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| Authors: | WAN Shi-min |
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| Affiliation: | WAN Shi-min (School of Science, Tianjin Chengjian University, Tianjin 300384, China) |
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| Abstract: | This paper utilizes a-remote neighborhood family of tools, introduces countable strong F compacmess in L-fuzzy topological space, and researches the characterizations of countable strong F compactness. It is proved that countable strong F compactness is the ＂L-good extension＂, hereditary with closed subsets and is an inverse invariant of L-fuzzy perfect mappings. Meanwhile, the author systematically studies some characteristic properties of countable strong F compactness. |
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| Keywords: | L-fuzzy topological space α-remote neighborhood countable strong F compactness γ-cove L-good extension α-ω accumulation point |
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