Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 4, No 2 (2010)

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Mappings and Decompositions of Pairwise Continuity on Pairwise Nearly Lindelof Spaces

Adem Kilicman, Zabidin Salleh

Abstract


A bitopological space $\left( X,\tau _{1},\tau _{2}\right) $ is
said to be pairwise nearly Lindel\"{o}f if every pairwise regular
open cover of $\left( X,\tau _{1},\tau _{2}\right) $ has a
countable subcover. The purpose of this paper is to study the
effect of mappings, some decompositions of pairwise continuity and
some generalized pairwise open mappings on pairwise
nearly Lindel\"{o}f spaces. The main result indicates that a pairwise $\delta $%
-continuous image of a pairwise nearly Lindel\"{o}f space is
pairwise nearly Lindel\"{o}f.

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