  A space $X$ is called $CCS$-normal space if there exist a normal space $Y$
and a bijection $f: X\mapsto Y$ such that $f\lvert_C:C\mapsto f(C)$ is
homeomorphism for any cellular-compact subset $C$ of $X$. We discuss about the
relations between $C$-normal, $CC$-normal, $Ps$-normal spaces with
$CCS$-normal.
