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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Natural Sciences Publishing
2015
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| 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 |
| _version_ | 1848848249575702528 |
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| author | Bouseliana, Hend Kilicman, Adem |
| author_facet | Bouseliana, Hend Kilicman, Adem |
| author_sort | Bouseliana, Hend |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:31:30Z |
| format | Article |
| id | upm-36142 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:30Z |
| publishDate | 2015 |
| publisher | Natural Sciences Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-361422017-10-27T01:32:14Z http://psasir.upm.edu.my/id/eprint/36142/ A comparison of paralindelof type properties in bitopological spaces Bouseliana, Hend Kilicman, Adem 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. Natural Sciences Publishing 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36142/1/A%20comparison%20of%20paralindelof%20type%20properties%20in%20bitopological%20spaces.pdf Bouseliana, Hend and Kilicman, Adem (2015) A comparison of paralindelof type properties in bitopological spaces. Applied Mathematics & Information Sciences, 9 (4). pp. 1787-1792. ISSN 1935-0090; ESSN: 2325-0399 http://www.naturalspublishing.com/ContentDtl.asp?IssID=292 |
| spellingShingle | Bouseliana, Hend Kilicman, Adem A comparison of paralindelof type properties in bitopological spaces |
| title | A comparison of paralindelof type properties in bitopological spaces |
| title_full | A comparison of paralindelof type properties in bitopological spaces |
| title_fullStr | A comparison of paralindelof type properties in bitopological spaces |
| title_full_unstemmed | A comparison of paralindelof type properties in bitopological spaces |
| title_short | A comparison of paralindelof type properties in bitopological spaces |
| title_sort | comparison of paralindelof type properties in bitopological spaces |
| url | http://psasir.upm.edu.my/id/eprint/36142/ 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 |