Research Article

G???Open sets in Grill Topological Spaces

by  Amin Saif, A. Mahdi, Khaled M. Hamadi
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 183 - Issue 13
Published: Jul 2021
Authors: Amin Saif, A. Mahdi, Khaled M. Hamadi
10.5120/ijca2021921446
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Amin Saif, A. Mahdi, Khaled M. Hamadi . G???Open sets in Grill Topological Spaces. International Journal of Computer Applications. 183, 13 (Jul 2021), 1-5. DOI=10.5120/ijca2021921446

                        @article{ 10.5120/ijca2021921446,
                        author  = { Amin Saif,A. Mahdi,Khaled M. Hamadi },
                        title   = { G???Open sets in Grill Topological Spaces },
                        journal = { International Journal of Computer Applications },
                        year    = { 2021 },
                        volume  = { 183 },
                        number  = { 13 },
                        pages   = { 1-5 },
                        doi     = { 10.5120/ijca2021921446 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2021
                        %A Amin Saif
                        %A A. Mahdi
                        %A Khaled M. Hamadi
                        %T G???Open sets in Grill Topological Spaces%T 
                        %J International Journal of Computer Applications
                        %V 183
                        %N 13
                        %P 1-5
                        %R 10.5120/ijca2021921446
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we investigate and introduce new class of open sets in grill topological spaces, class of Gαω-open sets, which is weak form of the class of Gα-open sets and strong form of class of Gω-open sets. We give the relationship of this notion with the other known sets and introduce the notions of the closure operator and the interior operator of Gαω-open sets.

References
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  • G. Choquet; Sur les notions de filtre et grille, Comptes Rendus Acad. Sci. Paris, 224 (1947), 171-173.
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  • O. Ravi, I. Rajasekaran, S. Kanna and M. Paranjothi, New Generalized Classes of??. European Journal of Pure and Applied Mathematics. Vol. 9, No. 2, (2016), 152-164.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

Open set Open set α-Open set ω-Open set Grill topological space

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