Abstract

In this paper, we will obtain several results concerning the properties of pairwise C-closed spaces and to study the relations of pairwise C-closed spaces with some related pairwise topological properties like pairwise compactness, sequential spaces, pairwise quasi-k spaces and pairwise C-sequential spaces.

Highlights

  • The study of bitopological spaces was first initiated by J

  • We will obtain several results concerning the properties of pairwise C-closed spaces and to study the relations of pairwise C-closed spaces with some related pairwise topological properties like pairwise compactness, sequential spaces, pairwise quasi-k spaces and pairwise C-sequential spaces

  • We study the notion of pairwise C-closed spaces in bitopological spaces and their relation with other bitopological concepts. we will show that pairwise countably compact C- closed space has countable tightness and we will introduce characterization of pairwice sequential compact hausdorff spaces

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Summary

Introduction

The study of bitopological spaces was first initiated by J. Definition 2.4: [4] In a space (x, τ1, τ2), τ1 is said to be regular with respect to τ2 if, for each point x∈ X and each τ1- closed subset F s.t x∈/ F, there are τ1-open set U and τ2-open set V s.t x∈ U and F⊂ V and U ∩ V = Ø.

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