Abstract
Here, we have studied the ideas of (s, t)-\(g_{\rho }\) and (s, t)-\(\lambda _{\rho }\)-closed sets \((s,t=1,2;\,\, s\not =t)\) and pairwise \(\lambda\)-closed sets in a generalized bitopological space \((X,{\rho_{1}}, {\rho_{2}})\). We have investigated the properties on some new separation axioms namely pairwise \(T_\frac{1}{4}\), pairwise \(T_\frac{3}{8}\), pairwise \(T_\frac{5}{8}\) and have established mutual relations with pairwise \(T_0\), pairwise \(T_\frac{1}{2}\) and pairwise \(T_1\). Also we have shown that under certain conditions, these axioms are equivalent.
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Banerjee, A.K., Pal, J. New separation axioms in generalized bitopological spaces. Math Sci 14, 185–192 (2020). https://doi.org/10.1007/s40096-020-00330-z
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DOI: https://doi.org/10.1007/s40096-020-00330-z
Keywords
- \((s, t)\)-\(g_{\rho }\)-closed set
- \((s, t)\)-\(\lambda _{\rho }\)-closed set
- Pairwise \(\lambda\)-closed set
- Pairwise \(T_\frac{1}{4}\)
- Pairwise \(T_\frac{3}{8}\)
- Pairwise \(T_\frac{5}{8}\)
- Pairwise \(T_\frac{1}{2}\)
- Pairwise \(\lambda\)-symmetric spaces