Tag Archives: Generalized Clubs

The failure of diamond on a reflecting stationary set

Joint work with Moti Gitik. Abstract: It is shown that the failure of S, for a subset Sω+1 that reflects stationarily often, is consistent with GCH and APω, relatively to the existence of a supercompact cardinal. This should be comapred with … Continue reading

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On guessing generalized clubs at the successors of regulars

Abstract: Konig, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of an higher Souslin tree from the strong guessing principle. Complementary to the author’s work on the validity of diamond and non-saturation … Continue reading

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