Pcf theory and Woodin cardinals

Details Pcf theory and Woodin cardinals Pcf theory and Woodin cardinals

2002-11-27

arxiv.org/abs/math/0211433v1

Mathematics

Logic

Scientific paper

We prove the following two results. Theorem A: Let alpha be a limit ordinal. Suppose that 2^{|alpha|}aleph_{|alpha|^+}. Then for all n< omega and for all bounded X subset aleph_{|alpha|^+}, M_n^#(X) exists. Theorem B: Let kappa be a singular cardinal of uncountable cofinality. If {alpha

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