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Applications of pcf for mild large cardinals to elementary embeddings
[article]

2013
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arXiv
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pre-print

The following pcf results are proved: 1. Assume that kappa > aleph_0 is a weakly compact cardinal. Let mu > 2^kappa be a singular cardinal of cofinality kappa. Then for every regular lambda < pp^+_Gamma(kappa) (mu) there is an increasing sequence (lambda_i | i < kappa) of regular cardinals converging to mu such that lambda = tcf(prod_i < kappa lambda_i, <_J^bd_kappa). 2. Let mu be a strong limit cardinal and theta a cardinal above mu. Suppose that at least one of them has an uncountable

arXiv:1307.5977v1
fatcat:giqyzvwejngazgdrytajqp2pki