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Stationary reflection and the universal Baire property

Stuart Zoble — 2006

Fundamenta Mathematicae

We show that ω₁-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.

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