拓扑空间中的理想收敛OACSTPCD

We used an ideal convergence structure to solve the characterization problem of directed topology,and provided necessary and sufficient conditions for the topological transformation of ideal S limits and ideal generalized S limits.The results show that the directed topology,the ideal S limit topology and the ideal generalized S limit topology are the same in T0 topological spaces.The ideal S convergence in a directed space is topological if and only if it is a c-space.The ideal generalized S convergence in a directed space is topological if and only if it is a locally strongly compact space.