Stationary reflection and the universal Baire property
Volume 191 / 2006
Fundamenta Mathematicae 191 (2006), 45-56
MSC: Primary 03E15; Secondary 03E05.
DOI: 10.4064/fm191-1-3
Abstract
We show that $\omega _1$-Universally Baire self-justifying systems are fully Universally Baire under the Weak Stationary Reflection Principle for Pairs. This involves analyzing the notion of a weakly captured set of reals, a weakening of the Universal Baire Property.
