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On CH + 2aleph1-> (alpha)22 for alpha < omega2

Saharon Shelah

math.LOarXiv:math/9308212

Abstract

We prove the consistency of ``CH + 2aleph1 is arbitrarily large + 2aleph1 not-> (omega1 x omega)22''. If fact, we can get 2aleph1 not-> [omega1 x omega]2aleph0. In addition to this theorem, we give generalizations to other cardinals.

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