Generalized side conditions

Details Generalized side conditions Generalized side conditions

2011-10-04

arxiv.org/abs/1110.0610v2

Mathematics

Logic

27 pages

Scientific paper

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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