Nonreflecting stationary sets in P_kappa(lambda)

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Let kappa be a regular uncountable cardinal and lambda >=kappa^+ . The principle of stationary reflection for P_kappa lambda has been successful in settling problems of infinite combinatorics in the case kappa=omega_1. For a greater kappa the principle is known to fail at some lambda. This note shows that it fails at every lambda if kappa is the successor of a regular uncountable cardinal or kappa is countably closed.

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Logic

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http://salesiana.dossiersoluciones.com/handle/123456789/71030

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405013
 http://arxiv.org/abs/math/0405013
 Adv. Math. 199 No. 1 (2006) 185--191

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arXiv