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## Soft topology in ideal topological spaces

In this paper, $(X, \tau, E)$ 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 $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$ called the $\theta$-local function of $(F, E)$ with respect to $\overline{\mathcal{I}}$ and $\tau$. Also, we investigate some properties of this operator. Moreover, by using the operator $(F, E)^{\theta}(\overline{\mathcal{I}}, \tau)$,  we introduce another soft operator to obtain soft topology and show that $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.
soft topological, ideal, $\theta$-local function, $\theta$-compatibility
 Bibtex @research article { hujms629820, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1277 - 1285}, doi = {}, title = {Soft topology in ideal topological spaces}, key = {cite}, author = {Al-Omari, Ahmad} } APA Al-Omari, A . (2019). Soft topology in ideal topological spaces. Hacettepe Journal of Mathematics and Statistics , 48 (5) , 1277-1285 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/49321/629820 MLA Al-Omari, A . "Soft topology in ideal topological spaces". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1277-1285 Chicago Al-Omari, A . "Soft topology in ideal topological spaces". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1277-1285 RIS TY - JOUR T1 - Soft topology in ideal topological spaces AU - Ahmad Al-Omari Y1 - 2019 PY - 2019 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1277 EP - 1285 VL - 48 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Soft topology in ideal topological spaces %A Ahmad Al-Omari %T Soft topology in ideal topological spaces %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 5 %R %U ISNAD Al-Omari, Ahmad . "Soft topology in ideal topological spaces". Hacettepe Journal of Mathematics and Statistics 48 / 5 (October 2019): 1277-1285 . AMA Al-Omari A . Soft topology in ideal topological spaces. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1277-1285. Vancouver Al-Omari A . Soft topology in ideal topological spaces. Hacettepe Journal of Mathematics and Statistics. 2019; 48(5): 1285-1277.