τ*-OPEN SETS AND RELATION BETWEEN SOME WEAK AND STRONG FORMS OF Τ*-OPEN SETS IN TOPOLOGICAL SPACESJournal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.4, No. 1)
Publication Date: 2015-01-30
Authors : Hariwan Zikri Ibrahim;
Page : 672-677
Keywords : open sets; τ*-open sets; functions.;
The main goal of this paper is to study some new classes of sets by using the open sets and functions in topological spaces. For this aim, the notions of τ*-open, τ-τ*-α-open, τ-τ*-preopen, τ-τ*-semiopen, τ-τ*-b-open, τ-τ*-β-open, τ*-τ-α-open, τ*-τ-preopen, τ*-τ-semiopen, τ*-τ-b-open, τ*-τ-β-open, τ*-α-open, τ*-preopen, τ*-semiopen, τ*-bopen and τ*-β-open sets are introduced. Properties and the relationships of τ*-open sets are investigated. Finally, the relationships between these sets and the related concepts are investigated.
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