拓扑空间中的理想下极限收敛

Ideal lower limit convergence in topological space

为了研究拓扑空间的收敛性质,引入了拓扑空间中网的理想下极限收敛和广义理想下极限收敛的概念,同时研究了这两类极限与C-空间和局部强紧空间之间的关系.特别的,借助交连续空间给出了C-空间的等价刻画.

In order to deeply study the convergence property of topological space,the concepts of ideal lower limit convergence and generalized ideal lower limit convergence of nets in topological space are introduced,and the relationship between the two kinds of limits and C-space and locally strongly compact space is also studied.In particular,the equivalent characterization of C-spaces is given by meet continuous spaces.