On the class of $I$-$\gamma$-open cover and $I$-$St$-$\gamma$-open cover

Inspired by Pratulananda Das' recent efforts, we develop and investigate a new class of ideal-open covers that are formed after the interplay of the existing ideal-open covers with the star-operator. Interdependencies between specific sorts of open coverings have been detected and in order to grasp the differences between the new and older classes of ideal open covers, several constructive examples are illustrated. Our finding also establish some strong prerequisite for certain of P. Das' findings. In addition, the nature of $I$-dense subsets of the classes of ideal-open-covers are investigated in this paper.

Keywords:

Ideal, filter, I-convergence, oOpen cover, γ cover, I-γ cover star operator,

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