A new closure operator via $(1,2) S_\beta$-open sets in bi-topological spaces

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Abstract

The aim of this paper is to define a new closure operator of ${ }_{(1,2) s_\beta}$ - set and to generate $\tau^{(1,2) s_\beta}, \rho^{(1,2) s_\beta}$ using $(1,2) S_\beta$ - open sets in bitopological spaces and study some of their properties.

Keywords:

(1, 2)semi-open sets, (1,2) S_$beta $-open sets, (1,2) $beta $-closed sets, (1,2) S_$beta $-Interior, (1,2) S_$beta $-Closure, \hat{(1,2) S ~}_$beta $-sets, \underset{(1,2) S_\beta}{V} \text {-sets }, D^{(1,2) S_\beta} \text {-sets}, D^{(1,2) s_\beta} \text {-sets }, \operatorname{Int}{ }^{\stackrel{\vee}{(1,2) s_\beta}} \text {-sets }, C^{(1,2) s_\beta} \text {-sets }, \tau^{(1,2) s_\beta} \text {-sets }, \rho^{(1,2) s_\beta} \text {-sets }

Mathematics Subject Classification:

Mathematics
  • V. Subprabha Research Scholar, Department of Mathematics, Sri Parasakthi College For Women (Affiliated to Manonmaniam Sundaranar University), Courtallam, Tirunelveli, Tamil Nadu. India.
  • P. T. Infant Vijula Research Scholar, Department of Mathematics, Sri Parasakthi College For Women (Affiliated to Manonmaniam Sundaranar University), Courtallam, Tirunelveli, Tamil Nadu. India.
  • N. Durga Devi Department of Mathematics, Sri Parasakthi College For Women (Affiliated to Manonmaniam Sundaranar University), Courtallam, Tirunelveli, Tamil Nadu. India.
  • Pages: 1114-1117
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

V. Subprabha, P. T. Infant Vijula, and N. Durga Devi. “A New Closure Operator via $(1,2) S_\beta$-Open Sets in Bi-Topological Spaces”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 1114-7, https://www.malayajournal.org/index.php/mjm/article/view/1232.