Open AccessMappings and decompositions of pairwise continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf spaces
Author(s) -
Zabidin Salleh,
Adem Kılıçman
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-3253
Subject(s) - pairwise comparison , mathematics , space (punctuation) , pure mathematics , image (mathematics) , combinatorics , computer science , statistics , artificial intelligence , operating system
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.