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PROJECTIVE STATIONARY SETS AND A STRONG REFLECTION PRINCIPLE

Published online by Cambridge University Press:  01 October 1998

QI FENG  and
THOMAS JECH
QI FENG
Affiliation:
Institute of Mathematics, Academia Sinica, Beijing 100080, China. E-mail: feng@logic.math.ac.cn
THOMAS JECH
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA. E-mail: jech@math.psu.edu
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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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 2 , October 1998 , pp. 271 - 283
Copyright
The London Mathematical Society 1998

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