Embedding Cohen algebras using pcf theory

Mathematics – Logic

Scientific paper

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Scientific paper

Using a theorem from pcf theory, we show that for any singular cardinal nu,
the product of the Cohen forcing notions on kappa, kappa < nu adds a generic
for the Cohen forcing notion on nu^+. This solves Problem 5.1 in Miller's list
(attributed to Rene David and Sy Friedman).

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