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arxiv: 1203.1235 · v2 · pith:5ZULL5Z4new · submitted 2012-03-06 · 🧮 math.LO

Forcing consequences of PFA together with the continuum large

classification 🧮 math.LO
keywords forcingcontinuumlargemethodaxiombuildingclasscompatible
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We develop a new method for building forcing iterations with symmetric systems of structures as side conditions. Using our method we prove that the forcing axiom for the class of all the small finitely proper posets is compatible with a large continuum.

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