Erratum to `On $\beta $-Local Functions in Ideal Topological Spaces` and New Results

Authors : Murad ÖZKOÇ, Faical YACİNE ISSAKA, Santanu ACHARJEE

Pages : 382-384

View : 18 | Download : 13

Publication Date : 2022-10-31

Article Type : Other Papers

Abstract :In 2020, Powar et al. [P.L. Powar, T. Noiri and S. Bhadauria, \textit{ On $\beta $-local functions in ideal topological spaces}, European Journal of Pure and Applied Mathematics, \textbf{13}insert ignore into journalissuearticles values(4);, insert ignore into journalissuearticles values(2020);, 758-765] introduced $\beta$-local functions and studied related properties. The purpose of this paper is to show that Theorem $1insert ignore into journalissuearticles values(2);$, Theorem $2insert ignore into journalissuearticles values(4);$ and Theorem $3$ of Powar et al. [P.L. Powar, T. Noiri and S. Bhadauria, \textit{On $\beta$-local functions in ideal topological spaces}, European Journal of Pure and Applied Mathematics, \textbf{13}insert ignore into journalissuearticles values(4);, insert ignore into journalissuearticles values(2020);, 758-765] are not true. To disprove their claims, we provide a suitable example and justifications. Thus, we rectify their claims using our results and establish the correct results.
Keywords : ideal topological space, eta open set, eta local function, operation cl eta ^, au eta ^ sets