
Summary: 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 \(\tau_\theta \subseteq \sigma \subseteq \sigma_0\).
Several topologies on one set (change of topology, comparison of topologies, lattices of topologies), Matematik, soft topological;ideal;$\theta$-local function;$\theta$-compatibility, Special maps on topological spaces (open, closed, perfect, etc.), Topological spaces and generalizations (closure spaces, etc.), soft topological, ideal, \(\theta\)-local function, \(\theta\)-compatibility, Mathematical Sciences
Several topologies on one set (change of topology, comparison of topologies, lattices of topologies), Matematik, soft topological;ideal;$\theta$-local function;$\theta$-compatibility, Special maps on topological spaces (open, closed, perfect, etc.), Topological spaces and generalizations (closure spaces, etc.), soft topological, ideal, \(\theta\)-local function, \(\theta\)-compatibility, Mathematical Sciences
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