PROJECTIVE STATIONARY SETS AND A STRONG REFLECTION PRINCIPLE.

The paper studies projective stationary sets. The Projective Stationary Reflection Principle is the statement that every projective stationary set contains an increasing continuous --chain of length É1. It is shown that, if Martin's Maximum holds, then the Projective Stationary Reflection Principle holds. Also, this principle is equivalent to the Strong Reflection Principle. The paper shows that the saturation of the nonstationary ideal on É1 is equivalent to a certain kind of reflection. [ABSTRACT FROM AUTHOR]