  A space $X$ is called $Ps$-normal($Ps$-Tychonoff) space if there exists a
normal(Tychonoff) space $Y$ and a bijection $f: X\mapsto Y$ such that
$f\lvert_K:K\mapsto f(K)$ is homeomorphism for any pseudocompact subset $K$ of
$X$. We establish a few relations between $C$-normal, $CC$-normal, $L$-normal,
$C$-Tychonoff, $CC$-Tychonoff spaces with $Ps$-normal and $Ps$-Tychonoff
spaces.
