Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces
The purpose of this paper is to study the eect of mappings and some decompositions of pairwise continuity on (i, j)-almost Lindelöf spaces and (i, j)-weakly Lindelöf spaces. The main results are that an (i, j)-continuous image of an (i, j)-almost Lindelöf space is (i, j)-almost Lindelof and a pairwi...
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| Format: | Article |
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Universidad Catolica del Norte
2021
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| Online Access: | http://psasir.upm.edu.my/id/eprint/94100/ |
| _version_ | 1848861910585311232 |
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| author | Salleh, Zabidin Kilicman, Adem |
| author_facet | Salleh, Zabidin Kilicman, Adem |
| author_sort | Salleh, Zabidin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to study the eect of mappings and some decompositions of pairwise continuity on (i, j)-almost Lindelöf spaces and (i, j)-weakly Lindelöf spaces. The main results are that an (i, j)-continuous image of an (i, j)-almost Lindelöf space is (i, j)-almost Lindelof and a pairwise almost continuous image of an (i, j)-weakly Lindelöf space is (i, j)-weakly Lindelöf. We also show that (i, j)-almost Lindelöf, pairwise almost Lindelöf, (i, j)-weakly Lindelöf and pairwise weakly Lindelöf properties are bitopological properties. |
| first_indexed | 2025-11-15T13:08:38Z |
| format | Article |
| id | upm-94100 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:08:38Z |
| publishDate | 2021 |
| publisher | Universidad Catolica del Norte |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-941002024-04-22T03:24:50Z http://psasir.upm.edu.my/id/eprint/94100/ Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces Salleh, Zabidin Kilicman, Adem The purpose of this paper is to study the eect of mappings and some decompositions of pairwise continuity on (i, j)-almost Lindelöf spaces and (i, j)-weakly Lindelöf spaces. The main results are that an (i, j)-continuous image of an (i, j)-almost Lindelöf space is (i, j)-almost Lindelof and a pairwise almost continuous image of an (i, j)-weakly Lindelöf space is (i, j)-weakly Lindelöf. We also show that (i, j)-almost Lindelöf, pairwise almost Lindelöf, (i, j)-weakly Lindelöf and pairwise weakly Lindelöf properties are bitopological properties. Universidad Catolica del Norte 2021 Article PeerReviewed Salleh, Zabidin and Kilicman, Adem (2021) Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces. Proyecciones, 40 (4). 815 - 836. ISSN 0716-0917 https://www.revistaproyecciones.cl/article/view/3253 10.22199/issn.0717-6279-3253 |
| spellingShingle | Salleh, Zabidin Kilicman, Adem Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title | Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title_full | Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title_fullStr | Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title_full_unstemmed | Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title_short | Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces |
| title_sort | mappings and decompositions of pairwise continuity on (i, j)-almost lindelof and (i, j)-weakly lindelof spaces |
| url | http://psasir.upm.edu.my/id/eprint/94100/ http://psasir.upm.edu.my/id/eprint/94100/ http://psasir.upm.edu.my/id/eprint/94100/ |