By Stevo Todorcevic,Chitat Chong,Qi Feng,Theodore A Slaman,W Hugh Woodin,Yue Yang
In the mathematical perform, the Baire class process is a device for setting up the lifestyles of a wealthy array of standard buildings. even if, in arithmetic, the Baire classification procedure can be in the back of a few primary effects reminiscent of the Open Mapping Theorem or the Banach–Steinhaus Boundedness precept. This quantity brings the Baire classification technique to one other point of class through the inner model of the set-theoretic forcing approach. it's the first systematic account of purposes of the better forcing axioms with the strain at the means of construction forcing notions instead of at the dating among diversified forcing axioms or their consistency strengths.
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