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PROJECTIVE STATIONARY SETS AND A STRONG REFLECTION PRINCIPLE

  • QI FENG (a1) and THOMAS JECH (a2)

Abstract

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 ω1. 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 ω1 is equivalent to a certain kind of reflection.

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PROJECTIVE STATIONARY SETS AND A STRONG REFLECTION PRINCIPLE

  • QI FENG (a1) and THOMAS JECH (a2)

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