2008 seminar talk: Further combinatorial properties of Cohen forcing

Talk held by Vera Fischer (KGRC) at the KGRC seminar on 2008-11-27.


Relaying on some combinatorial properties of Cohen forcing, we suggest a generalization of Mathias forcing which preserves the unboundedness of small unbounded families. The construction can be considered a first step towards obtaining the consistency of $\omega_1< \mathfrak{b}<\mathfrak{b}^+<\mathfrak{s}$.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.