A Study on g**s-R_0 and g**s-R_1 Spaces in Topological Spaces

M Anto, S Andrin Shahila

Abstract


In this paper, we introduces the concept of R_0-space, R_1-space, door space, submaximal using {\hat{g}}^{\ast\ast}s-closed set and investigate its properties. We have also study their relationship with some other higher separation axioms. We have also, introduced a new definition S{\hat{g}}^\ast-space by using semi-closed and {\hat{g}}^\ast-closed sets and study its relationship with other closed sets using {\hat{g}}^{\ast\ast}s-closed set.

Keywords


g**s-R_0, g**s-R_1 space, g**s -door spaces, g ̂^(**) s –submaximal, Sg*-space

Full Text:

PDF

References


I.Arockia Rani, Studies on generalizations of generalized closed sets and maps in topological spaces, Ph.D Thesis,Bharathiyar University, Coimbatore, (1997).

J.N.Sharma. (1977). “general topology" Krishna Prakashan, Meerut(U.P).

N. A. Shanin.(1943), On separation in topological spaces, Dokl. Akad. Nauk SSSR, 38, 110-113.

N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo 19(2) (1970), 89-96.

M. Anto and S. Andrin Shahila, g ̂^(**) s -closed sets in topological spaces, IJMTT- ICIMCEH2020, ISSN: 2349 – 5758, 1-7.

S.Balasubramanian, Generalized separation axioms, Scientia Magna, 6(4)(2010),1-14




DOI: http://dx.doi.org/10.23755/rm.v45i0.989

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Anto M, Andrin Shahila s

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.