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arxiv: 1110.0610 · v3 · pith:UDKFAQYHnew · submitted 2011-10-04 · 🧮 math.LO

Proper forcing remastered

classification 🧮 math.LO
keywords omegaforcingconditionsconstructionaddingalgebraapplicationsbaumgartner-shelah
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In these notes we present the method introduced by Neeman of generalized side conditions with two types of models. We then discuss some applications: the Friedman-Mitchell poset for adding a club in \omega_2 with finite conditions, Koszmider's forcing construction of a strong chain of length \omega_2 of functions from \omega_1 to \omega_1, and the Baumgartner-Shelah forcing construction of a thin very tall superatomic Boolean algebra.

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