Resolvability vs. almost resolvability |
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Authors: | István Juhász Saharon Shelah |
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Institution: | a Alfréd Rényi Institute of Mathematics, Realtanoda u. 13-15, Budapest, Hungary b Hebrew University, Israel |
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Abstract: | A space X is κ-resolvable (resp. almost κ-resolvable) if it contains κ dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets of X).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 κ there is an almost κ2-resolvable but not ω1-resolvable space of dispersion character κ. |
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Keywords: | 54A25 03E05 |
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