Projective Stationary Sets and Strong Reflection Principle

Details Projective Stationary Sets and Strong Reflection Principle Projective Stationary Sets and Strong Reflection Principle

1994-09-02

arxiv.org/abs/math/9409202v1

Mathematics

Logic

Scientific paper

We study projective stationary sets. The Projective Stationary Reflection principle is the statement that every projective stationary set contains an increasing continuous $\in$--chain of length $\omega_1$. We show that if Martin's Maximum holds, then the Projective Stationary Reflection Principle holds. Also it is equivalent to the Strong Reflection Principle. We show that the saturation of the nonstationary ideal on $\omega_1$ is equivalent to a certain kind of reflection.

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