In this paper we study countable $beta$-compactness and present another new class of compactness in ideal topological space viz; countable $betarho I$-compact spaces by utilizing the notion of $beta$-open sets. We also investigate some other properties of countable $betarho I$-compactness using different types of functions.
Key words: Ideal, countably $\beta$-compact, countably $\rho I $-compact, countably $\beta \rho I$-compact.
|
