By Stevo Todorcevic,Chitat Chong,Qi Feng,Theodore A Slaman,W Hugh Woodin,Yue Yang
In the mathematical perform, the Baire classification procedure is a device for developing the lifestyles of a wealthy array of general constructions. notwithstanding, in arithmetic, the Baire class procedure is additionally at the back of a couple of basic effects akin to the Open Mapping Theorem or the Banach–Steinhaus Boundedness precept. This quantity brings the Baire type approach to one other point of class through the interior model of the set-theoretic forcing procedure. it's the first systematic account of purposes of the better forcing axioms with the strain at the means of development forcing notions instead of at the courting among diverse forcing axioms or their consistency strengths.
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