L-fuzzy拓扑空间的可数强F紧性理论研究  

The Countable Strong F Compactness Theory Research of L-fuzzy Topological Space

作　　者：万诗敏[1] 

机构地区：[1]天津城建大学理学院,天津300384

出　　处：《天津城建大学学报》2014年第3期225-228,共4页Journal of Tianjin Chengjian University

基　　金：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)

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.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.

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 

分 类 号：O189.13[理学—数学]