NEARLY LINDELÖFNESS IN BITOPOLOGICAL SPACES

The concept of nearly pairwise Lindelöf spaces, a well-known weaker form of Lindelöf spaces, was introduced by Katetov and L. Krajewski in [11, 12] and has since been extensively explored by numerous researchers. This paper investigates the same concept in the context of a specific type of cover, referred to as a regular cover. In particular, the primary objective is to examine the properties of new generalizations of pairwise Lindelöf spaces, termed nearly pairwise Lindelöf spaces.