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L-fuzzy拓扑空间的相对仿紧性 被引量:4

Relative fuzzy paracompactness in L-fuzzy topological spaces
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摘要 在L-fuzzy拓扑空间中引入了相对仿紧性的概念,研究了相对仿紧集和相对仿紧子空间的性质,给出了弱诱导的F拓扑空间的子空间相对仿紧的等价条件. The concept of relative paracompactness is introduced in general L-fuzzy topological space, the properties of relative paracompact sets and relative paracompact subspaces are studied, some equivalent conditions for a weak-induced F topological subspace to be relative paracompact are presented.
出处 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期229-233,共5页 Journal of Yunnan University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(60474023) 浙江省教育厅科研项目(20060500)
关键词 L-FUZZY拓扑空间 分子 远域 相对仿紧性 L-fuzzy topological spaces molecule remote neighborhood relative fuzzy paracompactness
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参考文献5

  • 1ARHANGEL'SKII A V,GENEDI H M M.Beginning of the theory of relative topological propertiesin general topology(in Russian)[R].Spaces and Mappings,Moscow Univ Math Bull,1989:3-48.
  • 2ARHANGEL'SKII A V.Relative topological propertier and relative topological spaces[J].Topology Appl,1996,10(2-3):87-99.
  • 3李尧龙.关于相对良紧空间[J].云南大学学报(自然科学版),2004,26(6):470-474. 被引量:4
  • 4李尧龙,李骏,李桂华.L-fuzzy拓扑空间的相对强F紧性[J].兰州理工大学学报,2004,30(1):120-122. 被引量:4
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二级参考文献18

  • 1Arhangel'skii A V,Genedi H M M.Beginnings of the theory of relative topological properties [A].General Topology.Spaces and Mappings MGU [C].Moscow:Science Publisher,1989.3-48.
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  • 10ARHANGEL'SKI I A V. Relative topological properties and relative topological spaces[J]. Topology Appl, 1996, 70:87-99.

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