A comparison of Paralindelof Type Properties in Bitopological Spaces

Authors

Hend Bouseliana, Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow
Adem Kılıçman, Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia\\ Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, MalaysiaFollow

Author Country (or Countries)

Malaysia

Abstract

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.

Recommended Citation

Bouseliana, Hend and Kılıçman, Adem (2015) "A comparison of Paralindelof Type Properties in Bitopological Spaces," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 15.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/15