Abstract

In this paper, we study $beta$-compactness and present new class of compactness in ideal topological space viz; $betarho I$-compact spaces by utilizing the notion of $beta$-open sets. We also present some basic properties and characterizations of the generalized forms of $betarho I$-compactness and effect of some different types of functions on them.

Key words: Ideal, $I$-compact, $beta$-compact, $beta I$-compact, $rho I $-compact, $beta rho I$-compact.