Korean J. Math. Vol. 26 No. 4 (2018) pp.709-727
DOI: https://doi.org/10.11568/kjm.2018.26.4.709

$\lambda^*$-closed sets and new separation axioms in Alexandroff spaces

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Published: Dec 30, 2018
Keywords:
Alexandroff spaces, $ g^* $-closed sets, $ g^*$-open sets, $ A_\tau^\wedge $-sets, $ g\wedge_\tau $-sets, $ T_\omega $, $ T_\frac{\omega}{4}$, $T_\frac{3\omega}{8}$ and $ T_\frac{5\omega}{8} $ axioms, $\lambda^*$-closed sets, $\lambda^*$-open sets, weak
Mathematics Subject Classification:
Primary 54A05, 54D10

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Amar Kumar Banerjee
Department of Mathematics The University of Burdwan Golapbag, India.
Jagannath Pal
Department of Mathematics The University of Burdwan Golapbag, India.

Abstract

Here we have studied the ideas of $g^*$-closed sets, $g\wedge_\tau $-sets and $\lambda^*$-closed sets and investigate some of their properties in the spaces of A. D. Alexandroff [1]. We have also studied some separation axioms like $ T_\frac{\omega}{4}, T_\frac{3\omega}{8}, T_\omega $ in Alexandroff spaces and also have introduced a new separation axiom namely $ T_\frac{5\omega}{8} $ axiom in this space.


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References

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