
An ideal topological space is a triplet (饾憢, 饾湉, I), where 饾憢 is a nonempty set, 饾湉 is a topology on 饾憢, and I is an ideal of subsets of 饾憢. In this article, we introduce 饾惪*-perfect, 饾憛*-perfect, and 饾惗*-perfect sets in ideal spaces and study their properties. We obtained a characterization for compatible ideals via L*-perfect sets. Also, we obtain a generalized topology via ideals which is finer than 饾湉 using L*-perfect sets on a finite set.
饾憛*-perfect sets, and 饾惗*-perfect sets., 饾惪*-perfect sets
饾憛*-perfect sets, and 饾惗*-perfect sets., 饾惪*-perfect sets
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