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math.LO1997
Consistency of partition relation for cardinal in (lambda,2^lambda)
Saharon Shelah, Lee Stanley
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 [l…
math.LO1997
Ideals, Cohen sets and consistent extensions of the Erdős-Dushnik-Miller Theorem
Saharon Shelah, Lee Stanley
We present two different types of models where, for certain singular cardinals lambda of uncountable cofinality, lambda -> (lambda, omega+1)^2, although lambda is not a strong limi…