Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf spaces
DOI:
https://doi.org/10.22199/issn.0717-6279-3253Keywords:
Bitopological spaces, (i, j)-almost Lindel¨of, (i, j)-weakly Lindel¨of, (i, j)-θ-continuous, Pairwise almost continuousAbstract
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.
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