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

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

1993-08-15

arxiv.org/abs/math/9308212v1

Lecture Notes Logic 2 (1993), 281--289

Mathematics

Logic

Scientific paper

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.

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