### 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.

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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