On a Chang conjecture |
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| Authors: | Ralf-Dieter Schindler |
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| Institution: | 1. Mathematisches Institut, Universit?t Bonn, Beringstr. 4, D-53115, Bonn, Germany
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| Abstract: | We use the core model for the one strong cardinal to show that the Chang Conjecture (ℵ
n+2, ℵ
n+1) ⇒ (ℵ
n+1, ℵ
n
) together with 2ℵ
n − 1 = ℵ
n
implies, for 1<n<ω, the existence of an inner model with a strong cardinal. An essential step of our proof is an application of the Gitik
Game which also admits a presentation. |
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| Keywords: | |
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