Positive partition relations for P_{kappa,lambda}

Details Positive partition relations for P_{kappa,lambda} Positive partition relations for P_{kappa,lambda}

2004-07-26

arxiv.org/abs/math/0407440v1

Mathematics

Logic

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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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