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G???Open sets in Grill Topological Spaces

by Amin Saif, A. Mahdi, Khaled M. Hamadi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 183 - Number 13
Year of Publication: 2021
Authors: Amin Saif, A. Mahdi, Khaled M. Hamadi
10.5120/ijca2021921446

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 },
issue_date = { Jul 2021 },
volume = { 183 },
number = { 13 },
month = { Jul },
year = { 2021 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume183/number13/31983-2021921446/ },
doi = { 10.5120/ijca2021921446 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:16:39.268367+05:30
%A Amin Saif
%A A. Mahdi
%A Khaled M. Hamadi
%T G???Open sets in Grill Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 183
%N 13
%P 1-5
%D 2021
%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
  1. H. Z. Hdeib, ω-closed mappings, Revista Colombiana de Matematicas, 16 (1982), 65-78.
  2. F. Helen, 1968, Introduction to General Topology, Boston: University of Massachusetts.
  3. T. Noiri, A. Al-omari and M. Noorani, Weak forms of ω-open sets and decompositions of continuity, European Journal of Pure and Applied Mathematics 1, (2009), 73-84.
  4. O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15 (1965), 961-970.
  5. G. Choquet; Sur les notions de filtre et grille, Comptes Rendus Acad. Sci. Paris, 224 (1947), 171-173.
  6. B. Roy and M. N. Mukherjee; On a typical topology induced by a grill, Soochow J. Math., 33 (2007), 771-786.
  7. A. Al-Omari and T. Noiri, Characterizations of strongly compact spaces, Int. J. Math. and Math. Sciences, ID 573038 (2009), 1-9.
  8. 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

Keywords

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

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