Remarks on star weakly Lindelöf spaces

Abstract

Let P be a topological property. A space X is said to be star P if whenever U is an open cover of X, there exists a subspace A ⊆ X with property P such that X = St(A, ?), where St(A, ?) = ⋃ {U ∈ ? : U ∩ A ≠ ∅}. In this paper, we investigate the relationships among star Lindelöf spaces, star almost Lindelöf spaces and star weakly Lindelöf spaces, and also study topological properties of star weakly Lindelöf spaces.