Soft topology in ideal topological spaces

Authors : Ahmad AL-OMARİ

Pages : 1277-1285

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Publication Date : 2019-10-08

Article Type : Research Paper

Abstract :In this paper, $insert ignore into journalissuearticles values(X, \tau, E);$ denotes a soft topological space and $\overline{\mathcal{I}}$  a soft ideal over $X$ with the same set of parameters $E$. We define an operator $insert ignore into journalissuearticles values(F, E);^{\theta}insert ignore into journalissuearticles values(\overline{\mathcal{I}}, \tau);$ called the $\theta$-local function of $insert ignore into journalissuearticles values(F, E);$ with respect to $\overline{\mathcal{I}}$ and $\tau$. Also, we investigate some properties of this operator. Moreover, by using the operator $insert ignore into journalissuearticles values(F, E);^{\theta}insert ignore into journalissuearticles values(\overline{\mathcal{I}}, \tau);$,  we introduce another soft operator to obtain soft topology and show that $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.
Keywords : soft topological, ideal, heta local function, heta compatibility