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arXiv:1107.1667 [math.LO]AbstractReferencesReviewsResources

Violating the Singular Cardinals Hypothesis Without Large Cardinals

Moti Gitik, Peter Koepke

Published 2011-07-08Version 1

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.

Comments: 18 pages, to appear in Israel Journal of Mathematics
Categories: math.LO
Subjects: 03E25, 03E35
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