Sh:419

• Shelah, S., & Stanley, L. J. (2000). Filters, Cohen sets and consistent extensions of the Erdős-Dushnik-Miller theorem. J. Symbolic Logic, 65(1), 259–271.
• Abstract:
We present two different types of models where, for certain singular cardinals \lambda of uncountable cofinality, \lambda\rightarrow(\lambda,\omega+1)^2, although \lambda is not a strong limit cardinal. We announce, here, and will present in a subsequent paper, that, for example, consistently, \aleph_{\omega_1}\not\rightarrow (\aleph_{\omega_1},\omega+1)^2 and consistently, 2^{\aleph_0}\not\rightarrow (2^{\aleph_0},\omega+1)^2.
• published version (14p)
Bib entry
@article{Sh:419,
author = {Shelah, Saharon and Stanley, Lee J.},
title = {{Filters, Cohen sets and consistent extensions of the Erd\H{o}s-Dushnik-Miller theorem}},
journal = {J. Symbolic Logic},
fjournal = {The Journal of Symbolic Logic},
volume = {65},
number = {1},
year = {2000},
pages = {259--271},
issn = {0022-4812},
mrnumber = {1782118},
mrclass = {03E02 (03E35)},
doi = {10.2307/2586535},
note = {\href{https://arxiv.org/abs/math/9709228}{arXiv: math/9709228}},
arxiv_number = {math/9709228}
}