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BMM is stronger than BSPFA

Ralf Schindler

math.LOarXiv:math/0305047

Abstract

It is shown that if BMM (= Bounded Martin's Maximum) holds then each set is contained in an inner model with a strong cardinal. This answers a question that has been asked by various people. It follows that BMM has a much larger consistency strength than BSPFA (= the Bounded Semi-proper Forcing Axiom).

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