We show that in quasi-topological spaces, separation axiom $T_2$ is equivalent to ${alpha}-T_2$, $T_0$ is equivalent to semi - $T_0$, and semi - $T_{frac{1}{2}}$ is equivalent to semi - $T_D$. Also, we give characterizations for ${alpha}-T_1$, semi - $T_1$ and semi - $T_{frac{1}{2}}$ generalized topological spaces.