Violating the Singular Cardinals Hypothesis Without Large Cardinals

Details Violating the Singular Cardinals Hypothesis Without Large Cardinals Violating the Singular Cardinals Hypothesis Without Large Cardinals

2011-07-08

arxiv.org/abs/1107.1667v1

Mathematics

Logic

18 pages, to appear in Israel Journal of Mathematics

Scientific paper

We extend a transitive model V of ZFC + GCH cardinal preservingly to a model
N of ZF + "GCH holds below Alef_omega" + "there is a surjection from the power
set of Alef_omega onto lambda" where lambda is an arbitrarily high fixed
cardinal in V.

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