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

Mathematics – Logic

Scientific paper

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Scientific paper

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

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