$\tilde{g}$-closed Sets in Ideal Topological Spaces
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Keywords:
$\tilde{g}$-closed set, $\mathcal{I}_{\tilde{g}}$-closed set, $\mathcal{I}$-compact space.Abstract
The notion of $\tilde{g}$-closed sets is introduced in ideal topological spaces. Characterizations and properties of $\mathcal{I}_{\tilde{g}}$-closed sets and $\mathcal{I}_{\tilde{g}}$-open sets are given. A characterization of normal spaces is given in terms of $\mathcal{I}_{\tilde{g}}$-open sets. Also, it is established that an $\mathcal{I}_{\tilde{g}}$-closed subset of an $\mathcal{I}$-compact space is $\mathcal{I}$-compact.
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