ON τ∗ ii-OPEN SETS IN TOPOLOGICAL SPACES

Abstract

In this study, we introduce a novel category of open sets termed τ∗ ii-open sets within the context of topological spaces. We elucidate the core properties of τ∗ ii-open sets and explore their interrelations with various other types of open sets, including α-open sets. Moreover, we present fresh findings concerning the continuity of mappings, compactness, and connectedness pertaining to τ∗ ii within topological spaces.