On \((1, 2)^\star\)-\(\check{g}_\alpha\)-closed Sets
DOI:
https://doi.org/10.26713/cma.v13i1.1649Keywords:
\((1, 2)^\star\)-\(\check{g}_\alpha\)-closed sets, \((1, 2)^\star\)-\(\mathcal{G}\)-\(\ker(A)\), \((1, 2)^\star\)-\(\Lambda_{\mathcal{G}}\)-set, \((1, 2)^\star\)-\(\lambda_{\mathcal{G}}\)-set and \((1, 2)^\star\)-\(\check{g}_\alpha\)-LCAbstract
We introduce a new class of sets namely \((1, 2)^\star\)-\(\check{g}_\alpha\)-closed sets, \((1, 2)^\star\)-\(\Lambda_{\mathcal{G}}\)-set, \((1, 2)^\star\)-\(\lambda_{\mathcal{G}}\)-set and \((1, 2)^\star\)-\(\check{g}_\alpha\)-Locally closed sets are study in bitopological spaces. We prove that this classes lies between \((1, 2)^\star\)-\(\alpha\)-closed sets and \((1, 2)^\star\)-\(\alpha g\)-closed sets. Furthermore, we discuss some essential properties of \((1, 2)^\star\)-\(\check{g}_\alpha\)-closed sets in present of this paper.
Downloads
References
R.A.H. Al-Abdulla, On strong and weak sets in topological spaces, Journal of Interdisciplinary Mathematics 24(3) (2021), 765 – 773, DOI: 10.1080/09720502.2021.1884391.
R. Asokan, O. Nethaji and A. Ponmalar, On (1,2)*-g-closed and open functions, Turkish Journal of Computer and Mathematics Education 12(14) (20021), 5420 – 5425, URL: https://turcomat.org/index.php/turkbilmat/article/download/11652/8542.
X.-Y. Gao and A.M. Khalil, More on Dα-Closed sets in topological spaces, Journal of Mathematics 2021 (2021), Article ID 5525739, DOI: 10.1155/2021/5525739.
J.C. Kelly, Bitopological spaces, Proceeding of the London Mathematical Society s3-13(1) (1963), 71 – 89, DOI: 10.1112/plms/s3-13.1.71.
N. Levine, Generalized closed set in topology, Rendiconti del Circolo Matematico di Palermo 19(1970), 89 – 96, DOI: 10.1007/BF02843888.
M. Ramaboopathi and K.M. Dharmalingam, New forms of generalized closed sets in bitopological spaces, Journal of Applied Science and Computations 6(3) (2019), 712 – 718.
M. Ramaboopathi and K.M. Dharmalingam, On (1,2)⋆-gˇ-closed sets in bitopological spaces, Malaya Journal of Matematik 7(3) (2019), 463 – 467, DOI: 10.26637/MJM0703/0016.
Downloads
Published
Issue
Section
License
How to Cite
