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Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis
[article]
1995
arXiv
pre-print
We prove several results giving lower bounds for the large cardinal strength of a failure of the singular cardinal hypothesis. The main result is the following theorem: Theorem: Suppose κ is a singular strong limit cardinal and 2^κ >= λ where λ is not the successor of a cardinal of cofinality at most κ. (i) If (κ)> then o(κ)>λ. (ii) If (κ)= then either o(κ)>λ or :K o()>^+n is cofinal in κ for each n∈. In order to prove this theorem we give a detailed analysis of the sequences of indiscernibles
arXiv:math/9507214v1
fatcat:r5mqjv5l5jguvhpehzoqpnmwbi