Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces
Abstract The purpose of this paper is to study the effect 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)-θ-continuous image of an (i, j)-almost Lindelöf space is (i, j)- almos...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210004008152021-08-12Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf SpacesSalleh,ZabidinKılıçman,Adem Bitopological space (i, j)-almost Lindelöf (i, j)-weakly Lindelöf (i, j) − θ-continuous Pairwise almost continuous Abstract The purpose of this paper is to study the effect 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)-θ-continuous image of an (i, j)-almost Lindelöf space is (i, j)- almost Lindelöf 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.4 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400815en10.22199/issn.0717-6279-3253 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Bitopological space (i, j)-almost Lindelöf (i, j)-weakly Lindelöf (i, j) − θ-continuous Pairwise almost continuous |
spellingShingle |
Bitopological space (i, j)-almost Lindelöf (i, j)-weakly Lindelöf (i, j) − θ-continuous Pairwise almost continuous Salleh,Zabidin Kılıçman,Adem Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
description |
Abstract The purpose of this paper is to study the effect 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)-θ-continuous image of an (i, j)-almost Lindelöf space is (i, j)- almost Lindelöf 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. |
author |
Salleh,Zabidin Kılıçman,Adem |
author_facet |
Salleh,Zabidin Kılıçman,Adem |
author_sort |
Salleh,Zabidin |
title |
Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
title_short |
Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
title_full |
Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
title_fullStr |
Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
title_full_unstemmed |
Mappings and Decompositions of Pairwise Continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf Spaces |
title_sort |
mappings and decompositions of pairwise continuity on (i, j)-almost lindelöf and (i, j)-weakly lindelöf spaces |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2021 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400815 |
work_keys_str_mv |
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