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http://dx.doi.org/10.11568/kjm.2018.26.4.709

λ*-CLOSED SETS AND NEW SEPARATION AXIOMS IN ALEXANDROFF SPACES  

Banerjee, Amar Kumar (Department of Mathematics, The University of Burdwan)
Pal, Jagannath (Department of Mathematics, The University of Burdwan)
Publication Information
Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 709-727 More about this Journal
Abstract
Here we have studied the ideas of $g^*$-closed sets, $g{\bigwedge}_{{\tau}^-}$ 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; $A^{\bigwedge}_{\tau}$-sets; $g^{\bigwedge}_{\tau}$-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 $R_0$-spaces; Strongly symmetric spaces;
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