A Generalization of Martin's Axiom
classification
🧮 math.LO
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axiomgeneralizationmartinalephbeenbeforecertainchain
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We define the $\aleph_{1.5}$ chain condition. The corresponding forcing axiom is a generalization of Martin's Axiom and implies certain uniform failures of club--guessing on $\omega_1$ that don't seem to have been considered in the literature before.
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