Tri-Closed Sets In Tri-Topological Spaces

L Jeyasudha, Bala Deepa Arasi K

Abstract


In this paper, we introduce a new class of sets called tri-\ b\widehat{g\ }closed sets and tri-\ b\widehat{g\ }open sets via the concept of tri- \widehat{g\ }closed sets in tri topological spaces. Also, we investigate the relationship with other existing closed sets in tri-topological space.

Keywords


Tri- closed sets, tri- open sets, tri- closure, tri- interior.

Full Text:

PDF

References


D. Andrijievic, On b- open sets, Mat.Vesnik, 48(1996). No. 1-2, 59-64.

J. C. Kelly, Bitopological spaces, Proc. LondonMath. Soc., 1963,3, 17-89.

K. Bala Deepa Arasi and L. Jeyasudha, (2021), On Tri- g ̂ closed sets in Tri- Topological spaces.

K. Bala Deepa Arasi and L. Jeyasudha, (2021), On Tri- g ̂ continuous functions in Tri- Topological spaces, Journal of Physics

M. K. R. S. Veerakumar, (2003), g ̂ - closed sets in Topological space, Bull. Allahabad. Math. Soc., Vol.18, 99-112.

M. Kovar, On 3-Topological version of The t-Regularity, Internet. J. Matj, Sci., 2000, 23(6), 393-398.

N. F. Hameed & Mohammed Yahya Abid, Certain types of separation axioms in tri topological spaces, Iraqi journal of science, 2011, Vol 52,(2), 212-217.

N. Levine, Generalized closed sets in topology Rend. Circ. Mat. Palermo, 19(1970) 89-96.

P. Priyadharshini and A. Parvathi (2017), Tri- b-Continuous Function in Tri Topological Spaces, International Journal of Mathematics and its Applications, Vol. 5, Issue 4f, 959-962.

R. Subasree and M. MariaSingam, On - closed sets in topological spaces, IJMA, 4(7) 2003, 68-173.

S. Palaniammal, Study of Tri topological spaces, Ph. D Thesis, 2011.

U. D. Tapi, R. Sharma and B. Deole, Semi open sets and pre open sets in tri topological space, i-manager’s journals, on mathematics, 2016, 5(3).




DOI: http://dx.doi.org/10.23755/rm.v45i0.1002

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Jeyasudha L, Bala Deepa Arasi K

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.