New Characterization Of (1,2)S_P-Kernel In Bitopological Spaces

Authors

  • S Dhanalakshmi Affiliated to ManonmaniamSundaranar University
  • M Maheswari Affiliated to ManonmaniamSundaranar University
  • N Durga Devi Affiliated to ManonmaniamSundaranar University

DOI:

https://doi.org/10.23755/rm.v45i0.991

Keywords:

(1, 2)semi-open, 2)pre-open, 2)pre-closed, 2)S_p-open sets, 2)S_p-closed sets, 2)S_p-kernel sets, 2)S_p-derived sets, 2)S_p-shell sets.

Abstract

In this paper, the concept of (1,2)S_p-Kernal in bitopological spaces is introduced. Also the closure and kernel are defined in terms of (1,2)S_p-separation using (1,2)S_p-open sets in bitopological spaces and some of its properties are studied.

References

Dhanalakshmi.S and DurgaDevi.N: “Some Generalization of (1,2)S_P-locally closed sets in bitopological spaces”, J. Math. Comput. Sci. 11(2021), No. 5, 5931-5936.

Hardi Ali Shareef, Durga Devi Natarajan, Raja RajeswariRamajeyam and ThangaveluPeriannan: “(1,2)SP-open sets in Bitopological spaces”, Journal of ZankoySulaimani (2017) 19-2(Part A), 195-201.

Kelly. J.C: “Bitopological spaces”, Proc. Londan. Math. Soc. 1963; 13: 71-89.

LellisThivagar.M: “Generalization of pairwise -continuous function”, Pure and Applied Mathematics and Sciences, Vol XXXIII, No. 1-2, 1991, 55-63.

Lellis Thivagar.M, MeeraDevi.B and Navalagi.G: “(1,2) Externally disconnectedness Via Bitopological open sets”, International Journal of General Topology, Vol.4, Nos 1-2, January – December 2011, 915.

Raja Rajeswari.R: “Bitopological concepts of some separation properties”, Ph.D., Thesis, Madurai Kamaraj University, Madurai, India, 2009.

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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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