Some Separation Axioms in Topological Spaces

In this paper, we introduced the concepts of new separation axioms called $SC^*$-separation axioms and $H^*$-separation axioms by using $SC^*$ and $H^*$-open sets in topological spaces. The $SC^*$-separation axioms include $SC^*$-$C_0$, $SC^*$-$C_1$, weakly $SC^*$-$C_0$, and weakly $SC^*$-$C_1$ spaces, while the $H^*$-separation axioms include $H^*$-$T_{\frac{1}{2}}$, $H^*$-$T_b$, and $H^*$-$T_d$ spaces. Also, we obtained several properties of such spaces.