Open AccessSome New Sets and Topologies in Ideal Topological Spaces
Author(s) -
R. Manoharan,
P. Thangavelu
Publication year - 2013
Publication title -
chinese journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2314-8071
DOI - 10.1155/2013/973608
Subject(s) - algorithm , artificial intelligence , computer science
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 paper, 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 R∗-perfect sets. Also, we obtain a generalized topology via ideals which is finer than τ using R∗-perfect sets on a finite set
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