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L-拓扑空间的p-连通性
引用本文:马保国,王延军,车雨红.L-拓扑空间的p-连通性[J].纺织高校基础科学学报,2008,21(4):438-441.
作者姓名:马保国  王延军  车雨红
作者单位:延安大学,数学与计算机科学学院,陕西,延安,716000
基金项目:延安大学重点学科建设专项基金资助项目  
摘    要:在L-拓扑空间中借助于p-闭集定义了一种新的连通性.称之为p-连通性.给出p-连通分支的定义,研究了它们的一些基本性质,并给出p-连通的若干等价刻画.结果表明,p-连通性是连通性的推广.

关 键 词:L-拓扑空间  p-开集  p-隔离集  p-连通集

p-connectedness in L-topological spaces
MA Bao-guo,WANG Yan-jun,CHE Yu-hong.p-connectedness in L-topological spaces[J].Basic Sciences Journal of Textile Universities,2008,21(4):438-441.
Authors:MA Bao-guo  WANG Yan-jun  CHE Yu-hong
Affiliation:MA Bao-guo, WANG Yan-jun ,CHE Yu-hong (College of Mathematics and Computer Science,Yan'an University,Yan'an,Shaanxi 716000,China)
Abstract:A certain new connectedness which is called p-connectednes is defined in L-topological spaces , the definition of p-connected component is given. Some of their basic properties are studied, moreover , several equivalent conditions of p-connectednes are given. It is shown that p-connectednes is the extention of connectednes.
Keywords:L-topological space  p-open sets  p-separated sets  p-connectedness
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