CFP last date
20 May 2024
Call for Paper
June Edition
IJCA solicits high quality original research papers for the upcoming June edition of the journal. The last date of research paper submission is 20 May 2024

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Privacy Preservation: Multi-Attribute Protection with P-Sensitive K-Anonymity

Twinkle Patel Kiran Amin
Random Articles
Reseach Article

On pgI-Closed Sets in Ideal Topological Spaces

by R. Santhi, M. Rameshkumar
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 94 - Number 5
Year of Publication: 2014
Authors: R. Santhi, M. Rameshkumar
10.5120/16337-5655

R. Santhi, M. Rameshkumar . On pgI-Closed Sets in Ideal Topological Spaces. International Journal of Computer Applications. 94, 5 ( May 2014), 7-11. DOI=10.5120/16337-5655

@article{ 10.5120/16337-5655,
author = { R. Santhi, M. Rameshkumar },
title = { On pgI-Closed Sets in Ideal Topological Spaces },
journal = { International Journal of Computer Applications },
issue_date = { May 2014 },
volume = { 94 },
number = { 5 },
month = { May },
year = { 2014 },
issn = { 0975-8887 },
pages = { 7-11 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume94/number5/16337-5655/ },
doi = { 10.5120/16337-5655 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:16:46.479185+05:30
%A R. Santhi
%A M. Rameshkumar
%T On pgI-Closed Sets in Ideal Topological Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 94
%N 5
%P 7-11
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we define and investigate the notions of gI-closed sets and gI-open sets in ideal topological spaces. Then, we define _ -sets and ^ -sets and discuss the relation between them. Also, we give characterizations of gI-closed sets and gs-closed sets. A separation axiom stronger than TI -space is defined and various characterizations are given.

References
  1. D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4) (1990), 295-310.
  2. M. Khan and T. Noiri, Semi-local functions in ideal topological spaces, J. Adv. Res. Pure Math. , 2(1) (2010), 36-42.
  3. M. Khan and T. Noiri, On gI-closed sets in ideal topological spaces, J. Adv. Stud. in Top. , 1(2010),29-33.
  4. K. Kuratowski, Topology, Vol. I, Academic press, New York, 1966.
  5. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41.
  6. N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19(2)(1970), 89-96.
  7. M. Mrsevic, On pairwise R0 and pairwise R1 bitopological spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie, 30(1986), 141-148.
  8. M. Rajamani, V. Inthumathi and S. Krishnaprakash I g- closed sets and I g-continuity, J. Adv. Res. Pure. Math. ,2(4) (2010), 63-72.
  9. M. H. Stone, Application of the theory of boolean rings to general topology, Trans. Amer. Math. Soc. , 41(1937), 374- 481.
  10. R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company, 1960.
  11. V. Zaitsev, On certain classes of topological spaces and their bicompactifications, Dokl. Akad. Nauk SSSR. , 178 (1968), 778-779.
Index Terms

Computer Science
Information Sciences

Keywords

gI-closed gI-open _ -set ^ -set TI -space

Powered by PhDFocusTM