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On CH + 2^{aleph_1}-> (alpha)^2_2 for alpha < omega_2

Saharon Shelah

Published 1993-08-15Version 1

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.

Journal: Lecture Notes Logic 2 (1993), 281--289
Categories: math.LO
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