(1) Department of Mathematics, University Putra Malaysia, 43400 Upm, Serdang, Selangor, Malaysia
Abstract:
A topological space (X, π) is said to be nearly Lindelöf if every regularly open cover of (X, π) has a countable subcover. In this paper we study the effect of mappings and some decompositions of continuity on nearly Lindelöf spaces. The main result is that a δ-continuous image of a nearly Lindelöf space is nearly Lindelöf.