在拓扑空间中,滤子是用来描述收敛的主要工具之一,也是用来研究收敛空间的主要工具。本文对拓扑空间中的滤子,定义了三个新的滤子■,*和△,并用它们刻画了拓扑空间中的T0,T1,T2,正则,完全正则和正规等分离性。
Filters are one of the essential tools to describe the convergence theory in topological spaces. In this paper, based on filter-theoretical convergence, we present some characterizations for separation axioms in topological spaces such as To, T1, Tz, regularity, normality and completely regularity.