Sh:424

• Shelah, S. (1993). On CH + 2^{\aleph_1}\to(\alpha)^2_2 for \alpha<\omega_2. In Logic Colloquium ’90 (Helsinki, 1990), Vol. 2, Springer, Berlin, pp. 281–289. arXiv: math/9308212 MR: 1279847
• Abstract:
  We prove the consistency of “CH + 2^{\aleph_1} is arbitrarily large + 2^{\aleph_1}\not\rightarrow(\omega_1\times\omega)^2_2”. If fact, we can get 2^{\aleph_1}\not\rightarrow[\omega_1\times\omega]^2_{\aleph_0}. In addition to this theorem, we give generalizations to other cardinals.
• Version 1993-08-29_10 (9p) published version (9p)

@incollection{Sh:424,
 author = {Shelah, Saharon},
 title = {{On CH + $2^{\aleph_1}\to(\alpha)^2_2$ for $\alpha<\omega_2$}},
 booktitle = {{Logic Colloquium '90 (Helsinki, 1990)}},
 series = {Lecture Notes Logic},
 volume = {2},
 year = {1993},
 pages = {281--289},
 publisher = {Springer, Berlin},
 mrnumber = {1279847},
 mrclass = {03E35 (03E05 03E50)},
 note = {\href{https://arxiv.org/abs/math/9308212}{arXiv: math/9308212}},
 arxiv_number = {math/9308212}
}