Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf spaces
Author
Salleh, Zabidin
Kiliçman, Adem
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/325310.22199/issn.0717-6279-3253
Abstract
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.