Published January 6, 2022
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Existence of New Sets in an Ideal Topological Spaces
Authors/Creators
- 1. Abubakar Tafawa Balewa University, Bauchi
Description
An ideal topological space is a triplet (𝑋, 𝜏, I), where 𝑋 is a nonempty set, 𝜏 is a topology on 𝑋, and I is an ideal of subsets of 𝑋. In this article, we introduce 𝐿*-perfect, 𝑅*-perfect, and 𝐶*-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 𝜏 using L*-perfect sets on a finite set.
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- Journal article: https://www.ijert.org/existence-of-new-sets-in-an-ideal-topological-spaces (URL)