Mappings and decompositions of continuity on almost Lindelöf spaces
A. J. Fawakhreh and
A. Kiliçman
International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-7
Abstract:
A topological space X is said to be almost Lindelöf if for every open cover { U α : α ∈ Δ } of X there exists a countable subset { α n : n ∈ ℕ } ⊆ Δ such that X = ∪ n ∈ ℕ C l ( U α n ) . 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.
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:098760
DOI: 10.1155/IJMMS/2006/98760
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