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.
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)
关键词
F-拓扑空间
R-强连通性
可拓扑生成性
F-topological space
R-stong connectedness
generalized topological propetry
