Decompositions of $\mathcal{I}$-${\pi g}$-continuity
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Keywords:
$\mathcal{I}$-$\pi g$$\alpha$-continuity, $\mathcal{I}$-$\pi gp$-continuity, $\mathcal{I}$-$E_r$-continuity, $\mathcal{I}$-$E_r^*$-continuity, $\mathcal{I}$-$\pi g$-continuityAbstract
In this paper, we introduce the notions of $\mathcal{I}$-$\pi$-open sets, $\mathcal{I}$-$\pi g$-open sets, $\mathcal{I}$-$\pi g$$\alpha$-open sets, $\mathcal{I}$-$\pi gp$-open sets, $\mathcal{I}$-$E_r$-sets and $\mathcal{I}$-$E_r^*$-sets in ideal topological spaces and investigate some of their properties and using these notions we obtain three decompositions of $\mathcal{I}$-$\pi g$-continuity.
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