Stationary reflection and the universal Baire property

Stuart Zoble

Fundamenta Mathematicae (2006)

  • Volume: 191, Issue: 1, page 45-56
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Stuart Zoble. "Stationary reflection and the universal Baire property." Fundamenta Mathematicae 191.1 (2006): 45-56. <http://eudml.org/doc/282815>.

@article{StuartZoble2006,
abstract = {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.},
author = {Stuart Zoble},
journal = {Fundamenta Mathematicae},
keywords = {stationary set; stationary reflection; Universal Baire Property},
language = {eng},
number = {1},
pages = {45-56},
title = {Stationary reflection and the universal Baire property},
url = {http://eudml.org/doc/282815},
volume = {191},
year = {2006},
}

TY - JOUR
AU - Stuart Zoble
TI - Stationary reflection and the universal Baire property
JO - Fundamenta Mathematicae
PY - 2006
VL - 191
IS - 1
SP - 45
EP - 56
AB - 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.
LA - eng
KW - stationary set; stationary reflection; Universal Baire Property
UR - http://eudml.org/doc/282815
ER -

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