116c- Lecture 11

We proved Fodor’s theorem and showed some of its consequences.

We also proved Ulam’s theorem that any stationary subset of a successor cardinal kappa^+ can be partitioned into kappa^+ disjoint stationary sets. This result also holds for limit regular cardinals lambda, with a more elaborate proof that is sketched in the new homework set.

We then started the proof of Silver’s theorem that aleph_{omega_1} is not the first counterexample to {sf GCH}.


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