LF-拓扑空间的a-连通性

On the a-connectedness of LF-topological Spaces

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.

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 conneetedness of general to- pology.