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Consistency of partition relation for cardinal in (lambda,2lambda)

Saharon Shelah, Lee Stanley

math.LOarXiv:math/9710216

Abstract

We present a forcing for blowing up 2lambda and making ``many positive polarized partition relations'' (in a sense made precise in (c) of our main theorem) hold in the interval [lambda, 2lambda]. This generalizes results of [276], Section 1, and the forcing is a ``many cardinals'' version of the forcing there.

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