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Where MA first fails
Journal of Symbolic Logic 53 (2):429-433 (1988)
Abstract
If θ is any singular cardinal of cofinality ω 1 , we produce a forcing extension in which MA holds below θ but fails at θ. The failure is due to a partial order which splits a gap of size θ in P(ω)Other Versions
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Citations of this work
Sacks forcing, Laver forcing, and Martin's axiom.Haim Judah, Arnold W. Miller & Saharon Shelah - 1992 - Archive for Mathematical Logic 31 (3):145-161.
Semimorasses and nonreflection at singular cardinals.Piotr Koszmider - 1995 - Annals of Pure and Applied Logic 72 (1):1-23.
The relative strengths of fragments of Martin's axiom.Joan Bagaria - 2024 - Annals of Pure and Applied Logic 175 (1):103330.
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