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.
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