Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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λ*-CLOSED SETS AND NEW SEPARATION AXIOMS IN ALEXANDROFF SPACES

  • Received : 2018.08.10
  • Accepted : 2018.12.04
  • Published : 2018.12.30
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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.

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References

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