Forcing Many Positive Polarized Partition Relations Between a Cardinal and its Powerset

by Shelah and Stanley. [ShSt:608]
J Symbolic Logic, 2001
Corrected in [918]. 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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