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Journal of Discrete Mathematical Sciences and Cryptography cover

Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

On β*-supra topological spaces

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pp. 1835–1841Vol. 26Issue 7October 2023DOI: 10.47974/JDMSC-1632 Crossmark XML
Received:
10 May 2022
Published Online:
01 Nov 2023
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1632
Pages:
1835–1841

Abstract

In this paper, a new type of supra closed sets is introduced which we called supra β*-closed sets in a supra topological space. A new set of separation axioms is defined, and its many properties are examined. The relationships between supra β*-Ti –spaces (i = 0, 1, 2)   are studied and shown with instances. Additionally, new varieties of supra β*-continuous maps have been taken into consideration based on the supra β*-open sets theory. 

Keywords

Supra spaceSupra openSupra g- open setSupra continuous mapsMildly closed set

Subject Classifications

54A0518B30

References

[1] A. S. Mashour, A. A. Allam, F.S. Mahmoud and F.H. Khrdr,“On supra topological space”, Indian J. Pure Appl. Math., 14, no. 4, pp. 502-510 (1983).
[2] T. M. Al-Shami, “Some results related to supra topological spaces”, Journal of Advanced Studies in Topology, 7, no. 4, pp. 283-294 (2016).
[3] T. M. AL-Shami, B. A. Asaad and M. K. El-Bably, “Weak types of limit points and separation Axioms on supra topological spaces”, Scientific Journal 9, no. 10, pp. 801-803 (2020).
[4] B. A. Asaad, T. M. Al-Shami and El-Sayed A. Abo-Tabl, “Applications of some operators on supra topological spaces”, Demonstration Mathematical, 53, pp. 292-308 (2020).  
[5] O. R. Sayed and Takashi Noiri, “On supra b−open sets and supra b-continuity on topological spaces”, European  Journal of Pure and Applied Mathematics, 3, no. 2, pp. 295-302 (2010).
[6] O. Ravi, G. Ramkumar and M. Kamaraj, “On supra g-closed sets”, International Journal of Advances in Pure and Applied Mathematics, 2, no.1, pp. 52-66 (2011).   
[7] J. K. Park and J. H. Park, “Mildly generalized closed sets”, almost normal and mildly normal space, Chaos, Solitons and Fractals, 20, pp. 1103-1111 (2004).
[8] S. Dayana Mary and N. Nagaveni, “Decomposition of Generalized Closed Sets in Supra Topological Spaces”, International Journal of Computer Applications, 51, no.6, pp: 1-4 (2012).
[9] G. Ramkumar, “A study of supra topological spaces”, Madurai Kamaraj University, Ph.D.Tesis, (2012). 
[10] W. Sierpinki, “General topology”, Dover Publications, INC. Mineola, NewYork, (2020).
[11] A. R. Sadak, P, “P-L. Compact topological ring”, Iraq Journal of Science, 57, no. 4B, 2754-2759 (2016).      
[12] B.K. Mahmoud, “On supra –separation Axioms for supra topological space”, Tikrit Journal of Pure Science 22, no.2, pp. 117-120 (2017). 
[13] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849 (2020), DOI: 10.1080/09720502.2020.1727611.

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