International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 3, Pages 98760, 7 p.
doi:10.1155/IJMMS/2006/98760
Mappings and decompositions of continuity on almost Lindelöf spaces
A.J. Fawakhreh1
and A. Kiliçman2
1Department of Mathematics, Philadelphia University, P.O. Box 1, Amman 19392, Jordan
2Department of Mathematics, University Putra Malaysia, Selangor, Serdang 43400, Malaysia
Abstract
A topological space X is said to be almost Lindelöf if for every open cover {Uα:α∈Δ} of X there exists a countable subset {αn:n∈ℕ}⊆Δ such that X=∪n∈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.