Sh:901

• Juhász, I., Shelah, S., & Soukup, L. (2009). Resolvability vs. almost resolvability. Topology Appl., 156(11), 1966–1969.
• Abstract:
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 Juhász, Soukup, and Szentmiklóssy, 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}.

• Current version: 2006-12-10_10 (6p) published version (4p)
Bib entry
@article{Sh:901,
author = {Juh{\'a}sz, Istv{\'a}n and Shelah, Saharon and Soukup, Lajos},
title = {{Resolvability vs. almost resolvability}},
journal = {Topology Appl.},
fjournal = {Topology and its Applications},
volume = {156},
number = {11},
year = {2009},
pages = {1966--1969},
issn = {0166-8641},
mrnumber = {2536179},
mrclass = {54A25 (03E35)},
doi = {10.1016/j.topol.2009.03.019},
note = {\href{https://arxiv.org/abs/math/0702296}{arXiv: math/0702296}},
arxiv_number = {math/0702296}
}