Nearly Lindelöfness in \(N^{th}\)-Topological Spaces

The concepts of approximately Nth-Lindelöf spaces, introduced in [15] and [16], represent weaker forms of single Lindelöf spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a particular type of cover, known as a normal cover. The primary objective is to explore the properties of a new generalization, termed nearly nth-Lindelöf spaces.