Stationary reflection and the universal Baire property
Stuart Zoble
Fundamenta Mathematicae, Tome 189 (2006), p. 45-56 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282815
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     author = {Stuart Zoble},
     title = {Stationary reflection and the universal Baire property},
     journal = {Fundamenta Mathematicae},
     volume = {189},
     year = {2006},
     pages = {45-56},
     zbl = {1097.03044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-1-3}
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Stuart Zoble. Stationary reflection and the universal Baire property. Fundamenta Mathematicae, Tome 189 (2006) pp. 45-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm191-1-3/