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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 2 | Year 2019 | Article Id. IJMTT-V65I2P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I2P518

Some Topological Concepts In Penta Topological Space


G. Priscilla Pacifica, S. Shehnaz Fathima
Abstract

The purpose of this paper is to introduce the concept of generalized closed set to penta topological space. Further we studied some fundamental properties of penta topological space.

Keywords
Penta topological space, 𝜏1,2,3,4,5 open, 𝜏1,2,3,4,5 closed, 𝛼(1,2,3,4,5) open, 𝛼(1,2,3,4,5) closed, 𝛽(1,2,3,4,5) open, 𝛽(1,2,3,4,5) closed, semi (1,2,3,4,5) open, semi (1,2,3,4,5) closed , regular (1,2,3,4,5) open and regular (1,2,3,4,5) closed.
References

[1] Andrejevic.D, semi-preopen sets, Mat.Vensik, 38(1)(1986), 24-32.
[2] Kelly J.C (1963), Bitopological spaces, proc.LondonMath.Soc.3 PP. 17-89.
[3] Kovar M. Martin., (2000). On 3-Topological version of Thet-Regularity, Internat.J.Math, Sci, 23(6), 393-398.
[4] Mukundan, D.V (2013), Introduction to Quad topological spaces (4-tuple topology), International Journal of Scientific Research, Volume 4, Issue7, 2483-2485.
[5] Muhammad Shahkar Khan and Gulzar Ali Khan, p-Continuity and p-Homeomorphism in Penta topological spaces, European International Journal of Science and Technology, Vol.7 No.5, July 2018, ISSN: 2304-9693.
[6] Palaniammal.S.,(2011). Study of Tritopological spaces, Ph.D. Thesis.
[7] Priyadharshini P and Parvathi A(2017), Tri-b-Continuous Function in Tri Topological Spaces, International Journal of Mathematics and its Applications, Vol. 5,Issue 4F,959- 962.

Citation :

G. Priscilla Pacifica, S. Shehnaz Fathima, "Some Topological Concepts In Penta Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 2, pp. 109-116, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I2P518

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