  Let us denote by $\Phi(\lambda,\mu)$ the statement that $\mathbb{B}(\lambda)
= D(\lambda)^\omega$, i.e. the Baire space of weight $\lambda$, has a coloring
with $\mu$ colors such that every homeomorphic copy of the Cantor set
$\mathbb{C}$ in $\mathbb{B}(\lambda)$ picks up all the $\mu$ colors.
  We call a space $X\,$ {\em $\pi$-regular} if it is Hausdorff and for every
non-empty open set $U$ in $X$ there is a non-empty open set $V$ such that
$\overline{V} \subset U$. We recall that a space $X$ is called {\em feebly
compact} if every locally finite collection of open sets in $X$ is finite. A
Tychonov space is pseudocompact iff it is feebly compact.
  The main result of this paper is the following.
  Theorem. Let $X$ be a crowded feebly compact $\pi$-regular space and $\mu$ be
a fixed (finite or infinite) cardinal. If $\Phi(\lambda,\mu)$ holds for all
$\lambda < \widehat{c}(X)$ then $X$ is $\mu$-resolvable, i.e. contains $\mu$
pairwise disjoint dense subsets. (Here $\widehat{c}(X)$ is the smallest
cardinal $\kappa$ such that $X$ does not contain $\kappa$ many pairwise
disjoint open sets.)
  This significantly improves earlier results of van Mill , resp.
Ortiz-Castillo and Tomita.
