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Some remarks on changing cofinalities
Published online by Cambridge University Press: 12 March 2014
Abstract
In [2], Prikry showed that if κ is a weakly inaccessible cardinal which carries a Rowbottom filter, then there is a Boolean extension of V (the universe), having the same cardinals as V, in which cf(κ) = ω. In this note, we obtain necessary and sufficient conditions which a filter D on κ must possess in order that this may be done.
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- Copyright © Association for Symbolic Logic 1974
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