Weak Reflection Principle, Saturation of the ideal NS and Diamonds in two cardinal version

17.11.2011 15:00 - 16:30

V. Torres-Pérez (U Wien)

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.

Organiser:

KGRC

Location:
SR 101, 2. St., Währinger Str. 25