Abstract

On new types of sets via γ-open sets in bitopological spaces

Highlights

  • The notion of bitopological space (X; 1; 2) which is a nonempty set X endowed with two topologies 1 and 2 is introduced by Kelly [1]

  • A subset of X is called -closed if its complement is -open. -interior of S [4] denoted by -Int(S) is the union of all -open sets of X contained in S and -closure of S [3] denoted by -Cl(S) is the intersection of all -closed sets of X containing S

  • The main purpose of this paper is to extend the concepts of -preopen sets and -P -open sets which are weaker than -open sets to bitopological spaces

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Summary

Introduction

The notion of bitopological space (X; 1; 2) which is a nonempty set X endowed with two topologies 1 and 2 is introduced by Kelly [1]. A subset F of a bitopological space (X; 1; 2) with an operation on 1 [ 2 is said to be (i; j)- -P -closed ((i; j)- -pre-closed) if XnF is (i; j)- -P -open

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