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Search: All articles in the CMB digital archive with keyword forcing

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1. CMB 2008 (vol 51 pp. 593)

Ros{\l}anowski, Andrzej; Stepr\={a}ns, Juris
 Chasing Silver We show that limits of CS iterations of the $n$-Silver forcing notion have the $n$-localization property. Keywords:$n$-localization property, the Silver forcing, CS iterationsCategories:03E40, 03E35

2. CMB 1999 (vol 42 pp. 13)

Brendle, Jörg
 Dow's Principle and $Q$-Sets A $Q$-set is a set of reals every subset of which is a relative $G_\delta$. We investigate the combinatorics of $Q$-sets and discuss a question of Miller and Zhou on the size $\qq$ of the smallest set of reals which is not a $Q$-set. We show in particular that various natural lower bounds for $\qq$ are consistently strictly smaller than $\qq$. Keywords:$Q$-set, cardinal invariants of the continuum, pseudointersection number, $\MA$($\sigma$-centered), Dow's principle, almost disjoint family, almost disjointness principle, iterated forcingCategories:03E05, 03E35, 54A35