Research Article
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DOI:
http://dx.doi.org/10.24327/ijrsr.2018.0908.2477
Subject:
science
KeyWords:
preopen sets, semipreclosed sets, gspclosed sets and gp-closed sets, gpr-closed sets and g*p-closed
Abstract:
The purpose of this paper is to define and study a new class of sets, called the class of G*-closed sets, which lies between the class of semipreclosed sets and the class of g-closed sets . Also, the basic properties of these G*-closed sets, G*-open sets, G*T ½-spaces, G*- continuous functions, G*-irresolute functions, G*-Hausdorff spaces and G*-connected spaces are studied in this paper. Mathematics Subject Classification: 54A05, 54B05, 54D10