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

Amar Kumar Banerjee, Jagannath Pal

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.

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

Subject classification

Primary 54A05, 54D10

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References


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