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拓扑分子格的正则闭分离性

Regular closed separations in topological molecular lattices
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摘要 引入拓扑分子格中的正则闭远域与正则闭分离性(Tric,i=-1,0,…,4)等概念,给出它们的刻画,证明Tric分离性均为正则拓扑性质的,即在拓扑分子格的半正则化中,Tric分离性与Ti分离性是等价的. In this paper,the notions of regular closed remote neighborhood and regular closed separations(Trci,i=-1,0,…,4)were introduced in topological molecular lattices,and their characterizations were given.It was proved that they were all regular topological properties and equivalent to Trci separations in semi-regularization spaces.
作者 苏淑华 李琪
出处 《安徽大学学报(自然科学版)》 CAS 北大核心 2011年第4期14-19,共6页 Journal of Anhui University(Natural Science Edition)
基金 江西省教育厅科学技术研究基金资助项目(GJJ09257) 江西省教改基金资助项目(JXJG10811)
关键词 拓扑分子格 正则闭远域 正则闭分离性 半正则化 topological molecular lattice regular closed remote neighborhood regular closed separations semi-regularization
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  • 1王国俊.拓扑分子格(Ⅰ).科学通报,1983,28(9):1-15.
  • 2王国俊.拓扑分子格的分离公理[J].数学研究与评论,1983,3(2):9-16.
  • 3王国俊.完全分配格上的点式拓扑.陕西师范大学报自然科学版,1985,(1):1-17.
  • 4王国俊.S─闭对称拓扑分子格[J].延安大学学报(自然科学版),1994,13(3):8-15. 被引量:10
  • 5Li S G. H1 topological molecular lattices [ J ]. Fuzzy Sets and Systems, 1999,109 (3) :355-363.
  • 6Chen Y X. Convergence in topological molecular lattices [ J ]. Fuzzy Sets and Systems, 1996,84 ( 1 ) :97-102.
  • 7Shi F G, Xu Z G. A note on "Urysohn separation property in topological molecular lattices" [ J ]. Fuzzy Sets and Systems ,2006,157(6) :865-867.
  • 8Shi F G, Xu Z G. Urysohn separation property in topological molecular lattices [ J]. Fuzzy Sets and Systems,2001, 123(2) :177-184.
  • 9Wang G J. Theory of topological molecular lattices [ J ]. Fuzzy Sets and Systems, 1992,47 ( 3 ) : 351-376.
  • 10苏淑华,许兆龙,杨淑群.LF拓扑空间的正则闭分离性[J].模糊系统与数学,2008,22(1):85-90. 被引量:6

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