2011 seminar talk: Cardinal Characteristics, Projective Wellorders and Large Continuum

Talk held by Vera Fischer (KGRC) at the KGRC seminar on 2011-10-13.


We present a method for controlling cardinal characteristics in the presence of a projective wellorder and \(2^\aleph_0>\aleph_2\). This also answers a question of Harrington by showing that the existence of a (lightface) \(\Delta^1_3\) wellorder of the reals is consistent with Martin's axiom and \(2^\aleph_0=\aleph_3\). This is joint work with Sy-David Friedman and Lyubomyr Zdomskyy.

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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.