CFP last date
20 January 2025
Call for Paper
February Edition
IJCA solicits high quality original research papers for the upcoming February edition of the journal. The last date of research paper submission is 20 January 2025

Submit your paper
Know more
The week's pick
Responsive image
SFLA-Based Line Balancing and Task Optimization in Master-Slave Controlled Hanger Transportation Systems for Garment Production

Duc Hoang Nguyen
Random Articles
Reseach Article

G???Open sets in Grill Topological Spaces

by Amin Saif, A. Mahdi, Khaled M. Hamadi
journal cover thumbnail

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

Powered by PhDFocusTM