English

BMM is stronger than BSPFA

Logic 2007-05-23 v1

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).

Cite

@article{arxiv.math/0305047,
  title  = {BMM is stronger than BSPFA},
  author = {Ralf Schindler},
  journal= {arXiv preprint arXiv:math/0305047},
  year   = {2007}
}