Abstract

A topological space X is said to be almost Lindelöf if for every open cover {Uα:αΔ} of X there exists a countable subset {αn:n}Δ such that X=nCl(Uαn). In this paper we study the effect of mappings and some decompositions of continuity on almost Lindelöf spaces. The main result is that a image of an almost Lindelöf space is almost Lindelöf.