A New Class of Nano Generalized Closed Sets in Nano Topological Spaces

P Anbarasi Rodrigo, P Subithra

Abstract


In this paper, we introduce a new class of nano generalized closed sets in nano topological spaces namely nano generalized -closed sets.  Then we discuss some of its properties and investigate their relation with many other nano closed sets.  Also, we define nano generalized -open set and discuss its relation with other open sets. Finally, we define the properties of nano generalized -interior and nano generalized -closure.


Keywords


Ngα^*-closed sets, Ngα^*-open sets, Ngα^*-int, 〖Ngα〗^*-cl

Full Text:

PDF

References


K. Bhuvaneshwari, K. Mythili Gnana Priya. On Nano Generalized closed sets.International Journal of Scientific and Research Publications, 4(5), 1-3. 2014.

K. Bhuvaneshwari, K. Mythili Gnana Priya. On Nano generalized pre-sets and Nano pre generalized closed sets in Nano topological spaces. International Journal of Innovative Research in Science, Engineering and Technology, 3(10), 16825-29. 2014.

K. Bhuvaneshwari, K. Exhilaration Nano semi-generalized and Nano generalized semi-closed sets. International Journal of Mathematics and Computer Applications Research, 4(3), 117-124. 2014.

M. Lellis Thivagar, Carmel Richard. On Nano forms of weakly open sets. International Journal of Mathematical and Statistics Invention, 1(1), 31-37. 2012.

N. Levine.On Generalized closed sets in topology.Rendiconti del Circolo Matematico diPalermo,19(2), 89- 96. 1963.

R.T Nachiyar, K. Bhuvaneswari. On Nano generalized α –closed sets and Nano α-generalized closed sets in nano topological spaces. International Journal of Engineering Trends and Technology, 13(6), 257-260. 2014.

I. Rajasekaran, M. Mehrain and O. Nethaji. On Nano gβ-closed sets. International Journal of Mathematics and its Applications, 5(4-C), 377-882. 2017.

V. Rajendran, P. Sathish Mohan, K. Indirani.On Nano Generalized Star Closed Sets in Nano Topological Space. International Journal of Applied Research,1(9), 04-07. 2015.

V. Rajendran, B. Anand, S. Sharmila Banu. On Nano Generalized Star Semi Closed sets in Nano Topological Spaces. International Journal of Applied Research,1(9), 142-144. 2015.

V. Rajendran, P. Sathish Mohan, N. Suresh. On Nano Generalized Star Pre-Closed Sets in Nano Topological Spaces. International Journal of Recent Scientific Research. 7(1), 8066-8070. 2016.

A. Revathy, G. Ilango. On Nano β-open sets. International Journal of Engineering, ContemporaryMathematics and Sciences, 1(2), 1-6. 2015.

P. Sulochana Devi, K. Bhuvaneshwari. On Nano regular generalized and Nano generalized regular closed sets, International Journal of Engineering Trends and Technology. 13(8), 386-390. 2014.

N. Suresh, V. Rajendran, P. Sathish Mohan. On nano generalized star regular closed sets in nano topological spaces.International Journal of Advanced Research,2(5), 35-38. 2016.




DOI: http://dx.doi.org/10.23755/rm.v44i0.900

Refbacks

  • There are currently no refbacks.


Copyright (c) 2022 P Anbarasi Rodrigo, P Subithra

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.