On Some New Sets Via Local Closure Function in Ideal Topological Space

Ali Bulama Mamman, Haruna Usman Idriss, Bashir Mai Umar, Buba M.T Hambadga and Jamilu Adamu
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Ali Bulama Mamman: Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.
Haruna Usman Idriss: Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.
Bashir Mai Umar: Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.
Buba M.T Hambadga: Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.
Jamilu Adamu: Department of Mathematics, Federal University Gashua, Yobe State, Nigeria.

International Journal of Research and Innovation in Applied Science, 2025, vol. 10, issue 4, 579-588

Abstract: In this paper, we introduce L-perfect set, R-perfect set and C-perfect set in ideal topological space and study their properties. We investigate the relationship between the existing R-perfect sets and R-perfect set and also L-perfect sets and L-perfect set. We construct a topology B by using Kuratowski closure operator.

Date: 2025
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