Abstract
Recently, Andradi, Shen, Ho and Zhao asked whether can find a complete characterization of T0 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 T0 space is topological if and only if the T0 space is I⁎-continuous.
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