Full Paper View Go Back
About New Sets and Topologies in Ideal Topological Spaces
Anjali Srivastava1 , Rohit Gaur2
Section:Research Paper, Product Type: Journal-Paper
Vol.7 ,
Issue.1 , pp.107-110, Feb-2020
Online published on Feb 28, 2020
Copyright © Anjali Srivastava, Rohit Gaur . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
View this paper at Google Scholar | DPI Digital Library
How to Cite this Paper
- IEEE Citation
- MLA Citation
- APA Citation
- BibTex Citation
- RIS Citation
IEEE Style Citation: Anjali Srivastava, Rohit Gaur, “About New Sets and Topologies in Ideal Topological Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.1, pp.107-110, 2020.
MLA Style Citation: Anjali Srivastava, Rohit Gaur "About New Sets and Topologies in Ideal Topological Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.1 (2020): 107-110.
APA Style Citation: Anjali Srivastava, Rohit Gaur, (2020). About New Sets and Topologies in Ideal Topological Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(1), 107-110.
BibTex Style Citation:
@article{Srivastava_2020,
author = {Anjali Srivastava, Rohit Gaur},
title = {About New Sets and Topologies in Ideal Topological Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2020},
volume = {7},
Issue = {1},
month = {2},
year = {2020},
issn = {2347-2693},
pages = {107-110},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1750},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1750
TI - About New Sets and Topologies in Ideal Topological Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Anjali Srivastava, Rohit Gaur
PY - 2020
DA - 2020/02/28
PB - IJCSE, Indore, INDIA
SP - 107-110
IS - 1
VL - 7
SN - 2347-2693
ER -
351 Views
242 Downloads
65 Downloads
Abstract :
In this research article we discuss some properties of ideal topological spaces commonly denoted as (X,τ,I) and give a few characterizations of ideal topological spaces. With the help of the existing topology τ on X and the ideal I on X, a new topology called τ* is introduced and the properties of (X,τ) as well as (X, τ*) are discussed in details.
Key-Words / Index Term :
LI-perfect sets, RI-perfect sets, CI-perfect sets, RI-open sets
References :
[1] T. R. Hamlett and D. Jankovic, “Ideals in general topology”, General Topology and Applications, pp. 115–125, 1988.
[2] E.Hayashi, “Topologies defined by local properties”, Mathematische Annal en, Vol.156, No.3, pp.205-215, 1964.
[3] D.jankovic and T.R. Hamlett, “New topologies from old via ideals”, Amer. math. Monthly, Vol. 97, pp 295-310, 1990.
[4] D.jankovic and T.R. Hamlett, “Compatible extensions of ideals”, Boll. Un.mat.ital, Vol. 7, No. 6-B, pp. 453-465, 1992.
[5] Kuratowski, “Topology”, Vol.1, Academic Press, New York, 1966.
[6] K.D. Joshi, “Introduction to General Topology”. New AGE INTERNATIONAL (P) LIMITED, New Delhi-110002 (1983).
[7] Ümit Karabıyık1, Aynur Keskin Kaymakcı. “Some New Regular Generalized Closed Sets in Ideal Topological” Spaces”, EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 9, No. 4, pp. 434-442, 2016, ISSN 1307-5543.
[8] J.Sebastian Lawrence and R.Manoharan. “NEW SETS AND TOPOLOGIES IN IDEAL TOPOLOGICAL SPACES”, International Journal of Pure and Applied Mathematics, Vol. 118, No. 20, pp. 93-98, 2018, ISSN: 1314-3395.
[9] R.Manoharan and P.thangavelu. “Some New Sets and Topologies in Ideal Topological Spaces”. Chinese Journal of Mathematics, Vol. 10, 6 pages, 2013.
[10] R. Manoharan and P. Thangavelu, “Some New sets and Topologies in Ideal Topological Spaces”, Chinese Journal of Mathematics, 6 pages, 2013, Article ID 973608.
[11] Rodyna A. Hosny, “Notes on Soft Perfect Sets”, Int. Journal of Math. Analysis, Vol. 8, No. 17, pp. 803 – 812, 2014.
You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at support@isroset.org or view contact page for more details.
