SI-convergence in T_0 spaces

摘要

Recently, Andradi, Shen, Ho and Zhao asked whether can find a complete characterization of T-0 spaces for the SI-convergence being topological. In this paper, we give a positive answer to this problem. More precisely, we introduce the notion of I*-continuous spaces, and prove that the SI-convergence in a T-0 space is topological if and only if the T-0 space is I*-continuous. (C) 2020 Elsevier B.V. All rights reserved.