  The recent literature offers examples, specific and hand-crafted, of
Tychonoff spaces (in ZFC) which respond negatively to these questions, due
respectively to Ceder and Pearson (1967) and to Comfort and Garc\'ia-Ferreira
(2001): (1) Is every $\omega$-resolvable space maximally resolvable? (2) Is
every maximally resolvable space extraresolvable? Now using the method of
${\mathcal{KID}}$ expansion, the authors show that {\it every} suitably
restricted Tychonoff topological space $(X,\sT)$ admits a larger Tychonoff
topology (that is, an "expansion") witnessing such failure. Specifically the
authors show in ZFC that if $(X,\sT)$ is a maximally resolvable Tychonoff space
with $S(X,\sT)\leq\Delta(X,\sT)=\kappa$, then $(X,\sT)$ has Tychonoff
expansions $\sU=\sU_i$ ($1\leq i\leq5$), with $\Delta(X,\sU_i)=\Delta(X,\sT)$
and $S(X,\sU_i)\leq\Delta(X,\sU_i)$, such that $(X,\sU_i)$ is: ($i=1$)
$\omega$-resolvable but not maximally resolvable; ($i=2$) [if $\kappa'$ is
regular, with $S(X,\sT)\leq\kappa'\leq\kappa$] $\tau$-resolvable for all
$\tau<\kappa'$, but not $\kappa'$-resolvable; ($i=3$) maximally resolvable, but
not extraresolvable; ($i=4$) extraresolvable, but not maximally resolvable;
($i=5$) maximally resolvable and extraresolvable, but not strongly
extraresolvable.
