Projective Stationary Sets and Strong Reflection Principle
Logic
2009-09-25 v1
Abstract
We study projective stationary sets. The Projective Stationary Reflection principle is the statement that every projective stationary set contains an increasing continuous --chain of length . 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 is equivalent to a certain kind of reflection.
Cite
@article{arxiv.math/9409202,
title = {Projective Stationary Sets and Strong Reflection Principle},
author = {Qi Feng and Thomas Jech},
journal= {arXiv preprint arXiv:math/9409202},
year = {2009}
}