TY  - JOUR
T1  - Soft topology in ideal topological spaces
AU  - Al-omari, Ahmad
PY  - 2019
DA  - October
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1277
EP  - 1285
VL  - 48
IS  - 5
LA  - en
AB  - 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 $\tau_{\theta}\subseteq\sigma\subseteq\sigma_{0}$.
KW  - soft topological
KW  - ideal
KW  - $\theta$-local function
KW  - $\theta$-compatibility
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UR  - https://dergipark.org.tr/en/pub/hujms/article/629820
L1  - https://dergipark.org.tr/en/download/article-file/824604
ER  -