Projective Stationary Sets and Strong Reflection Principle

Qi Feng; Thomas Jech

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arXiv · math/9409202

Projective Stationary Sets and Strong Reflection Principle

Qi Feng·Thomas Jech

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Abstract

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 $ω_1$. 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 $ω_1$ is equivalent to a certain kind of reflection.

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BibTeX RIS

Qi Feng, Thomas Jech. 1994-09-02. Projective Stationary Sets and Strong Reflection Principle. https://arxiv.org/abs/math/9409202

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