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Associated Bitopological Spaces of (i,j)- g*b –Closed Sets

Journal: International Journal of Scientific Engineering and Science (Vol.1, No. 10)

Publication Date:

Authors : ;

Page : 37-42

Keywords : (i; j)-g*b-closed sets; (i; j)-T*b1/2 & (i; j)-*Tb1/2 spaces.;

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Abstract

The concept of gb-closed sets for general topology was introduced and studied analytically by M.Ganster & M. Steiner and which motivated the author to coin the concept of (i,j)-gb-closed as well as (i,j)-g*b –closed sets in bitopological spaces. The exploration of these classes of (i,j)-gb-closed as well as (i,j)-g*b –closed sets provide the relation with the class of ij-bclosed sets in the manner that the class of (i,j)-g*b –closed sets properly exists in between the class of j-b-closed sets and the class of (i,j)-gb-closed sets. Of course, being the main object of the present paper, two new bitopological (i,j)-T*b1/2 & (i,j)-*Tb1/2 are introduced as an application of (i,j)-g*b-closed sets. No doubt in order to serve the purpose, the basic properties of (i,j)-g*b-closed as well as (i,j)-gb-closed sets are investigated and analysed in this paper.

Last modified: 2017-11-25 20:47:56