可拓扑生成的F拓扑空间的R-强连通性  

R-Strong Connectness in Topological Generalized F-topological Space

作　　者：王小霞[1] 姜金平[1] 

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2012年第3期40-41,共2页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅科研项目(12JK0849);延安大学重点科研项目(YDZD2011-05)

摘　　要：旨在研究可拓扑生成的F拓扑空间的R-强连通性。运用类比、推广的方法,将一般拓扑空间中的R-强连通性引入到了F-拓扑空间中。定义了F-拓扑空间中R-强连通集以及R-强连通F-拓扑空间的概念,证明了F-拓扑空间的R-强连通性是可拓扑生成的等结论,扩展了一般拓扑学中的一些结果。The aim of this article is to study the topological generalized R-strong connectedness in F-topological spaces.The R-strong connectedness in general topological spaces is introduced to F-topological spaces with the help of methods of analogy and generalization.Conceots of R-strong connected set in F-topological spaces and R-strong connected F-topological spaces are difined.Conclusions that R-stong connectedness of F-topological spaces in generalized topological property are gotten.Some results of general topology are extended.

关 键 词：F-拓扑空间 R-强连通性 可拓扑生成性 

分 类 号：O189.1[理学—数学]