Abstract
In this paper by using regular open sets and $\Gamma$-local functions, we introduce and investigate the notions of $\mathcal{I}_R$-dense sets, $\mathcal{I}_R$-hyperconnectedness, $\mathcal{I}^*_R$-hyperconnectedness, $\Gamma$-resolbablity and regular $\Gamma$-irresobability in ideal topological spaces.
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