$b^{\ast}_{I}$ Sets and $b^{\ast}_{I}$-Compact Ideal Spaces

Authors

  • Michael Jr. Patula Baldado Negros Oriental State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4855

Keywords:

$b^{\ast}$-open sets, $b^{\ast}_{J}$-open sets, ideals, $b^{\ast}$-compact space

Abstract

We came up with the concept b∗-open set which has stricter condition with respect to the notion b-open sets, introduced by Andrijevic [2] as a generalization of Levine’s [7] generalized closed sets. The condition imposes equality instead of inclusion. In this study, we gave some important properties of b∗-open sets with respect to an ideal, and b∗-compact spaces.

Author Biography

  • Michael Jr. Patula Baldado, Negros Oriental State University
    Asst. Dean, Graduate School

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Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

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How to Cite

$b^{\ast}_{I}$ Sets and $b^{\ast}_{I}$-Compact Ideal Spaces. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1809-1816. https://doi.org/10.29020/nybg.ejpam.v16i3.4855