Forcing axioms for λ‐complete μ+$\mu ^+$‐c.c

Mathematical Logic Quarterly 68 (1):6-26 (2022)
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Abstract

We consider forcing axioms for suitable families of μ‐complete ‐c.c. forcing notions. We show that some form of the condition “ have a in ” is necessary. We also show some versions are really stronger than others.

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Citations of this work

Different cofinalities of tree ideals.Saharon Shelah & Otmar Spinas - 2023 - Annals of Pure and Applied Logic 174 (8):103290.

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References found in this work

Applications of PCF theory.Saharon Shelah - 2000 - Journal of Symbolic Logic 65 (4):1624-1674.
The amalgamation spectrum.John T. Baldwin, Alexei Kolesnikov & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (3):914-928.
Diamonds, uniformization.Saharon Shelah - 1984 - Journal of Symbolic Logic 49 (4):1022-1033.
Simple unstable theories.Saharon Shelah - 1980 - Annals of Mathematical Logic 19 (3):177.
Was sierpinski right? IV.Saharon Shelah - 2000 - Journal of Symbolic Logic 65 (3):1031-1054.

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