A comparison of paralindelof type properties in bitopological spaces

An implication of (i, j)-paralindelof spaces with (i, j)-normal and (i, j)-collectionwise normal space has been studied. We introduce the new definitions of the normal concept in bitopological setting namely (i, j, j)-normal spaces and (i, j)j-normal spaces. When the pairwise paralindelof space impl...

Full description

Bibliographic Details
Main Authors: Bouseliana, Hend, Kilicman, Adem
Format: Article
Language:English
Published: Natural Sciences Publishing 2015
Online Access:http://psasir.upm.edu.my/id/eprint/36142/
http://psasir.upm.edu.my/id/eprint/36142/1/A%20comparison%20of%20paralindelof%20type%20properties%20in%20bitopological%20spaces.pdf
Description
Summary:An implication of (i, j)-paralindelof spaces with (i, j)-normal and (i, j)-collectionwise normal space has been studied. We introduce the new definitions of the normal concept in bitopological setting namely (i, j, j)-normal spaces and (i, j)j-normal spaces. When the pairwise paralindelof space implies pairwise Lindelof is investigated. Furthermore, the concepts of para-m-Lindelof and m-Lindelof have been extended to bitopological setting. Also, we study the relation of (i, j)-para-m-Lindelof and (i, j)-m-Lindelof.