Sh:901

• Juhász, I., Shelah, S., & Soukup, L. (2009). Resolvability vs. almost resolvability. Topology Appl., 156(11), 1966–1969. arXiv: math/0702296 DOI: 10.1016/j.topol.2009.03.019 MR: 2536179
• 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}.

• Version 2006-12-10_11 (6p) published version (4p)

@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}
}