Nonreflecting stationary sets in P_kappa(lambda)

Details Nonreflecting stationary sets in P_kappa(lambda) Nonreflecting stationary sets in P_kappa(lambda)

2004-05-01

arxiv.org/abs/math/0405013v1

Mathematics

Logic

Scientific paper

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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