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Positive partition relations for P_{kappa,lambda}

Pierre Matet·Saharon Shelah
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Abstract

Let kappa a regular uncountable cardinal and lambda a cardinal >kappa, and suppose lambda^{ ^kappa (I_{kappa, lambda}^+,omega +1)^2, (b) I_{kappa, lambda}^+ -->^kappa [I_{kappa, lambda}^+]_{kappa^+}^2 if kappa is a limit cardinal, and (c) I_{kappa, lambda}^+ -->^kappa (I_{kappa, lambda}^+)^2 if kappa is weakly compact.

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Pierre Matet, Saharon Shelah. 2004-07-26. Positive partition relations for P_{kappa,lambda}. https://arxiv.org/abs/math/0407440

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