Sh:546

• Shelah, S. (2000). Was Sierpiński right? IV. J. Symbolic Logic, 65(3), 1031–1054. arXiv: math/9712282 DOI: 10.2307/2586687 MR: 1791363
• Abstract:
  We prove for any \mu=\mu^{<\mu}<\theta<\lambda,\lambda large enough (just strongly inaccessible Mahlo) the consistency of 2^\mu=\lambda\rightarrow [\theta]^2_3 and even 2^\mu=\lambda\rightarrow [\theta]^2_{\sigma,2} for \sigma<\mu. The new point is that possibly \theta>\mu^+.
• Version 2012-10-24_10 (27p) published version (25p)

@article{Sh:546,
 author = {Shelah, Saharon},
 title = {{Was Sierpi\'nski right? IV}},
 journal = {J. Symbolic Logic},
 fjournal = {The Journal of Symbolic Logic},
 volume = {65},
 number = {3},
 year = {2000},
 pages = {1031--1054},
 issn = {0022-4812},
 mrnumber = {1791363},
 mrclass = {03E02 (03E35)},
 doi = {10.2307/2586687},
 note = {\href{https://arxiv.org/abs/math/9712282}{arXiv: math/9712282}},
 arxiv_number = {math/9712282}
}