Two‐cardinal diamond star

Mathematical Logic Quarterly 60 (4-5):246-265 (2014)
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Abstract

Our main results are: (A) It is consistent relative to a large cardinal that holds but fails. (B) If holds and are two infinite cardinals such that and λ carries a good scale, then holds. (C) If are two cardinals such that κ is λ‐Shelah and, then there is no good scale for λ.

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10.1002/malq.201200008

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References found in this work

Squares, scales and stationary reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
Weak saturation of ideals on Pκ(λ).Pierre Matet - 2011 - Mathematical Logic Quarterly 57 (2):149-165.
Game ideals.Pierre Matet - 2009 - Annals of Pure and Applied Logic 158 (1-2):23-39.

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