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

Authors

  • M Anto Affiliated to Manonmaniam Sundaranar University
  • S Andrin Shahila Affiliated to Manonmaniam Sundaranar University

DOI:

https://doi.org/10.23755/rm.v45i0.989

Keywords:

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

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.

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

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Published

2023-01-30

Issue

Vol. 45 (2023): Special Issue: Advances in Applied and Intellectual Mathematics

Section

Volume 44-2022

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