  In a recent paper O. Pavlov proved the following two interesting
resolvability results:
  (1) If a space $X$ satisfies $\Delta(X) > \ps(X)$ then $X$ is maximally
resolvable.
  (2) If a $T_3$-space $X$ satisfies $\Delta(X) > \pe(X)$ then $X$ is
$\omega$-resolvable.
  Here $\ps(X)$ ($\pe(X)$) denotes the smallest successor cardinal such that
$X$ has no discrete (closed discrete) subset of that size and $\Delta(X)$ is
the smallest cardinality of a non-empty open set in $X$. In this note we
improve (1) by showing that $\Delta(X) >$ $\ps(X)$ can be relaxed to $\Delta(X)
\ge$ $\ps(X)$. In particular, if $X$ is a space of countable spread with
$\Delta(X) > \omega$ then $X$ is maximally resolvable.
  The question if an analogous improvement of (2) is valid remains open, but we
present a proof of (2) that is simpler than Pavlov's.
