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The proper forcing axiom and stationary set reflection

The proper forcing axiom and stationary set reflection

Our main result is that the proper forcing axiom (PFA) is equiconsistent with "PFA + there is a nonreflecting stationary subset of a>2."More generally we show for any cardinals n < m < N2 that if PFA + (n) is consistent with ZFC then so is "PFA + («) + …