Semiproper forcing axiom implies Martin maximum but not |mathrmPFA+

Journal of Symbolic Logic 52 (2):360 - 367 (1987)
Abstract
We prove that MM (Martin maximum) is equivalent (in ZFC) to the older axiom SPFA (semiproper forcing axiom). We also prove that SPFA does not imply SPFA + or even PFA + (using the consistency of a large cardinal)
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DOI 10.2307/2274385
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Collapsing $$Omega _2$$ with Semi-Proper Forcing.Stevo Todorcevic - 2018 - Archive for Mathematical Logic 57 (1-2):185-194.
Guessing and Non-Guessing of Canonical Functions.David Asperó - 2007 - Annals of Pure and Applied Logic 146 (2):150-179.

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