On CH + 2^{aleph_1}-> (alpha)^2_2 for alpha < omega_2
Logic
2009-09-25 v1
Abstract
We prove the consistency of ``CH + 2^{aleph_1} is arbitrarily large + 2^{aleph_1} not-> (omega_1 x omega)^2_2''. If fact, we can get 2^{aleph_1} not-> [omega_1 x omega]^2_{aleph_0}. In addition to this theorem, we give generalizations to other cardinals.
Cite
@article{arxiv.math/9308212,
title = {On CH + 2^{aleph_1}-> (alpha)^2_2 for alpha < omega_2},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9308212},
year = {2009}
}