  A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains
kappa dense sets that are pairwise disjoint (resp. almost disjoint over the
ideal of nowhere dense subsets of X). Answering a problem raised by Juhasz,
Soukup, and Szentmiklossy, and improving a consistency result of Comfort and
Hu, we prove, in ZFC, that for every infinite cardinal {kappa} there is an
almost 2^{kappa}-resolvable but not {omega}_1-resolvable space of dispersion
character {kappa} .
