Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf spaces

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-3253

Keywords:

Bitopological spaces, (i, j)-almost Lindel¨of, (i, j)-weakly Lindel¨of, (i, j)-θ-continuous, Pairwise almost continuous

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.

Author Biographies

Zabidin Salleh, Universiti Malaysia Terengganu.

School of Informatics and Applied Mathematics.

Adem Kiliçman, Universiti Putra Malaysia

Department of Mathematics.

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Published

2021-04-19 — Updated on 2021-07-25

How to Cite

[1]
Z. Salleh and A. Kiliçman, “Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelöf and (i, j)-weakly Lindelöf spaces”, Proyecciones (Antofagasta, On line), vol. 40, no. 4, pp. 815-836, Jul. 2021.

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Artículos