2011 seminar talk: Weak Reflection Principle, Saturation of the ideal NS and Diamonds in two cardinal version

Talk held by Victor Torres Perez (KGRC) at the KGRC seminar on 2011-11-17.


We prove that the Weak Reflection Principle and the saturation of the ideal NS together imply \(\Diamond_{[\lambda]^{\omega_1}}\), for all regular \(\lambda\geq\aleph_2\). Even more, we get \(\Diamond_{[\lambda]^{\omega_1}}\) concentrated on \(x\in[\lambda]^{\omega_1}\) such that \(\sup(x)\) has uncountable cofinality.

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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.