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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Autores principales: Salleh,Zabidin, Kılıçman,Adem
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000400815
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spelling 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
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AT k305l305cmanadem mappingsanddecompositionsofpairwisecontinuityonijalmostlindelofandijweaklylindelofspaces
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