# Resolvability vs. almost resolvability

István Juhász, Saharon Shelah and Lajos Soukup

A space is -resolvable (resp. almost -resolvable) if it contains dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets of ).

Answering a problem raised by Juhász, Soukup, and Szentmiklóssy, and improving a consistency result of Comfort and Hu, we prove, in ZFC, that for every infinite cardinal there is an almost -resolvable but not -resolvable space of dispersion character .

Key words and phrases: kappa-resolvable space, almost kappa-resolvable space, extraresolvable space

2000 Mathematics Subject Classification: 54A25, 03E05