Positive partition relations for P_{kappa,lambda}

dc.creator	Matet, Pierre
dc.creator	Shelah, Saharon
dc.date	2004-07-26
dc.date.accessioned	2026-07-07T05:10:41Z
dc.date.available	2026-07-07T05:10:41Z
dc.description	Let kappa a regular uncountable cardinal and lambda a cardinal >kappa, and suppose lambda^{<kappa} is less than the covering number for category cov(M_{kappa,kappa}). Then (a) I_{kappa,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.
dc.identifier	https://arxiv.org/abs/math/0407440
dc.identifier	http://arxiv.org/abs/math/0407440
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/72004
dc.subject	Logic
dc.title	Positive partition relations for P_{kappa,lambda}
dc.type	text

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