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LF-拓扑空间的a-连通性
引用本文:李霄.LF-拓扑空间的a-连通性[J].内江师范学院学报,2008,23(10):31-33.
作者姓名:李霄
作者单位:陕西师范大学数学与信息科学学院,陕西,西安,710062
基金项目:陕西师范大学校科研和教改项目
摘    要:在LF-拓扑空间中定义了a-开集和a-闭集,并借助a-开集定义了a-连通,研究了它的一些基本性质和等价刻画.结果表明,这种a-连通性保持了一般拓扑中连通性的许多类似性质.

关 键 词:LF-拓扑空间  a-开集  a-隔离集  a-连通性

On the a-connectedness of LF-topological Spaces
LI Xiao.On the a-connectedness of LF-topological Spaces[J].Journal of Neijiang Teachers College,2008,23(10):31-33.
Authors:LI Xiao
Institution:LI Xiao (College of Maythematics and Information Science, Shaanxi Normal University, Xi' an 710062, China)
Abstract:Definition of the a-open set and the a-closed set in LF-topological spaces given,efforts are made to define the a- connectedness by means of a-open sets,following which a probe into some of its basic properties and equivalent depiction is done as well.And the finding shows that the a-connectedness bears many similar properties found in the eonneetedness of general to- pology.
Keywords:LF-topological space  a-open set  a-separated set  a-connectedness
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