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Consistent and inconsistent generalizations of Martin’s Axiom, weak square and weak Chang’s Conjecture
Journal of Mathematical Logic (forthcoming)
Abstract
We prove that the forcing axiom [Formula: see text] (stratified) implies [Formula: see text]. Using this implication, we show that the forcing axiom [Formula: see text] is inconsistent. We also derive weak Chang’s Conjecture from [Formula: see text] (stratified) and use this second implication to give another proof of the inconsistency of [Formula: see text].Author's Profile
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