On Pairwise paralindeloff Bitopological Spaces

TL;DR

This paper introduces new generalizations of pairwise paralindeloff spaces, explores their properties, characterizations, and relations with separation axioms in bitopological spaces.

Contribution

It proposes novel types of pairwise paralindeloff spaces and investigates their properties and relationships with separation axioms.

Findings

New definitions of pairwise nearly paralindeloff and almost paralindeloff spaces.

Characterizations and properties of these new spaces.

Relations with pairwise separation axioms.

Abstract

The aim of this work is to introduce and study some new types of generalizations of pairwise paralindeloff spaces, pairwise nearly paralindeloff and almost paralindeloff spaces. Some of their characterizations, properties and subsets are investigated and studied. Furthermore, the relation of among them with some pairwise separation axioms are considered.