### Resolvability vs. almost resolvability

by Juhasz and Shelah and Soukup. [JShS:901]

Topology and its Applications, 2009

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} .

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