• Title/Summary/Keyword: $T_{\frac{3\omega}{8}}$ and $T_{\frac{5\omega}{8}}$ axioms

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

  • Banerjee, Amar Kumar;Pal, Jagannath
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.709-727
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    • 2018
  • 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.