  We prove that:
  I. If $L$ is a $T_1$ space, $|L|>1$ and $d(L) \leq \kappa \geq \omega$, then
there is a submaximal dense subspace $X$ of $L^{2^\kappa}$ such that
$|X|=\Delta(X)=\kappa$;
  II. If $\frak{c}\leq\kappa=\kappa^\omega<\lambda$ and $2^\kappa=2^\lambda$,
then there is a Tychonoff pseudocompact globally and locally connected space
$X$ such that $|X|=\Delta(X)=\lambda$ and $X$ is not $\kappa^+$-resolvable;
  III. If $\omega_1\leq\kappa<\lambda$ and $2^\kappa=2^\lambda$, then there is
a regular space $X$ such that $|X|=\Delta(X)=\lambda$, all continuous
real-valued functions on $X$ are constant (so $X$ is pseudocompact and
connected) and $X$ is not $\kappa^+$-resolvable.
